200 ejercicios sobre Operaciones entre Conjuntos resueltos paso a paso con procedimientos.

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Operaciones entre conjuntos
Resolver las operaciones indicadas:
1). Dado el conjunto universal:
y los subconjuntos:
2). Dado el conjunto universal:
y los subconjuntos:
3). Dado el conjunto universal:
y los subconjuntos:
4). Dado el conjunto universal:
y los subconjuntos:
5). Dado el conjunto universal:
y los subconjuntos:
6). Dado el conjunto universal:
y los subconjuntos:
7). Dado el conjunto universal:
y los subconjuntos:
8). Dado el conjunto universal:
y los subconjuntos:
9). Dado el conjunto universal:
y los subconjuntos:
10). Dado el conjunto universal:
y los subconjuntos:
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {12, 18, 24, 36, 42, 48, 54, 60, 66, 72}
= {6, 12, 18, 24, 30, 36, 42, 54, 60, 66}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 40, 70, 80, 90, 100}
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, e, f , g, i, j,k, l}
= {a, b, c, d, e, f , g,h, i, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 9, 12, 15, 24, 33, 36}
= {12, 15, 24, 27, 30, 33}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 6, 8, 10, 18, 20}
= {2, 4, 8, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 80}
= {8, 16, 24, 32, 40, 48, 56, 72, 80, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 48, 72, 84, 96, 108, 120}
= {12, 24, 48, 72, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, c, d, e,k}
= {a, b, c, d, e, f , g,h, i, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
11). Dado el conjunto universal:
y los subconjuntos:
12). Dado el conjunto universal:
y los subconjuntos:
13). Dado el conjunto universal:
y los subconjuntos:
14). Dado el conjunto universal:
y los subconjuntos:
15). Dado el conjunto universal:
y los subconjuntos:
16). Dado el conjunto universal:
y los subconjuntos:
17). Dado el conjunto universal:
y los subconjuntos:
18). Dado el conjunto universal:
y los subconjuntos:
19). Dado el conjunto universal:
y los subconjuntos:
20). Dado el conjunto universal:
y los subconjuntos:
21). Dado el conjunto universal:
y los subconjuntos:
22). Dado el conjunto universal:
y los subconjuntos:
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 21, 28, 35, 42, 49, 56, 63, 77, 84}
= {7, 14, 21, 35, 42, 49, 56, 63, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 35, 42, 49, 56, 63, 70, 77}
= {7, 28, 35, 42, 49, 56, 77}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {10, 30, 35, 40, 55}
= {15, 25, 30, 45, 50, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 50, 60, 70, 90}
= {10, 20, 50, 70, 80, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 88, 96}
= {8, 16, 24, 40, 48, 64, 72, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 18, 24, 42, 48, 54, 60}
= {6, 12, 18, 24, 30, 36, 48, 54, 60, 66, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 36, 42, 48, 54, 60, 66, 72}
= {6, 18, 24, 30, 42, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 99}
= {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 56, 63, 70, 84}
= {28, 35, 42, 49, 56, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {6, 9, 12, 15, 18, 21, 24, 30, 33, 36}
= {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 40, 80, 100}
= {30, 40, 50, 60, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 10, 12, 14, 18, 24}
= {4, 6, 8, 10, 14, 16, 18, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
23). Dado el conjunto universal:
y los subconjuntos:
24). Dado el conjunto universal:
y los subconjuntos:
25). Dado el conjunto universal:
y los subconjuntos:
26). Dado el conjunto universal:
y los subconjuntos:
27). Dado el conjunto universal:
y los subconjuntos:
28). Dado el conjunto universal:
y los subconjuntos:
29). Dado el conjunto universal:
y los subconjuntos:
30). Dado el conjunto universal:
y los subconjuntos:
31). Dado el conjunto universal:
y los subconjuntos:
32). Dado el conjunto universal:
y los subconjuntos:
33). Dado el conjunto universal:
y los subconjuntos:
34). Dado el conjunto universal:
y los subconjuntos:
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {24, 48, 56, 72, 88, 96}
= {16, 32, 56, 64, 80, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 25, 30, 35, 45, 50, 60}
= {5, 10, 20, 25, 30, 35, 45, 50, 55}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
= {6, 18, 24, 30, 54, 60, 66}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 77, 88, 99, 110}
= {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h, j,k, l}
= {a, f , g, i, j,k}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 50, 60, 70, 80, 90}
= {10, 20, 30, 40, 50, 80, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, c, d, e,h, i, j,k, l}
= {a, c, d, g,h, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 6, 9, 12, 18, 24, 27, 30, 33, 36}
= {3, 6, 9, 12, 18, 21, 24, 27, 36}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 77, 88, 110}
= {33, 44, 55, 66, 77, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 30, 36, 42, 48, 60, 72}
= {12, 18, 30, 42, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 40, 45, 50, 55, 60}
= {10, 15, 20, 30, 40, 50, 55, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 60, 72, 84, 96, 108}
= {12, 24, 60, 84, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
35). Dado elconjunto universal:
y los subconjuntos:
36). Dado el conjunto universal:
y los subconjuntos:
37). Dado el conjunto universal:
y los subconjuntos:
38). Dado el conjunto universal:
y los subconjuntos:
39). Dado el conjunto universal:
y los subconjuntos:
40). Dado el conjunto universal:
y los subconjuntos:
41). Dado el conjunto universal:
y los subconjuntos:
42). Dado el conjunto universal:
y los subconjuntos:
43). Dado el conjunto universal:
y los subconjuntos:
44). Dado el conjunto universal:
y los subconjuntos:
45). Dado el conjunto universal:
y los subconjuntos:
46). Dado el conjunto universal:
y los subconjuntos:
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
= {20, 30, 50, 70, 80}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {b, c, d, e, f , g,h, j,k, l}
= {b, c, d, e, f ,h, i, j}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {3, 5, 7, 11, 13, 17, 19, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {7, 11, 13, 17, 19, 23, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 18, 27, 36, 45, 54, 63, 81, 90}
= {9, 18, 27, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 16, 20, 28, 32, 36, 40, 44}
= {8, 12, 16, 28, 32, 36, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 6, 8, 10, 12, 14, 16, 24}
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 25, 35, 40, 50, 55, 60}
= {10, 20, 25, 30, 35, 45, 50, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 35, 42, 56, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {8, 12, 16, 28, 32, 44, 48}
= {4, 8, 12, 16, 20, 24, 28, 32, 36, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {2, 5, 7, 11, 13, 17, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {27, 45, 54, 63, 81, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
47). Dado el conjunto universal:
y los subconjuntos:
48). Dado el conjunto universal:
y los subconjuntos:
49). Dado el conjunto universal:
y los subconjuntos:
50). Dado el conjunto universal:
y los subconjuntos:
51). Dado el conjunto universal:
y los subconjuntos:
52). Dado el conjunto universal:
y los subconjuntos:
53). Dado el conjunto universal:
y los subconjuntos:
54). Dado el conjunto universal:
y los subconjuntos:
55). Dado el conjunto universal:
y los subconjuntos:
56). Dado el conjunto universal:
y los subconjuntos:
57). Dado el conjunto universal:
y los subconjuntos:
58). Dado el conjunto universal:
y los subconjuntos:
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 48, 60, 84, 120}
= {12, 24, 36, 48, 60, 72, 84, 96, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {14, 21, 28, 35, 56, 63, 70, 77, 84}
= {7, 14, 28, 35, 49, 56, 63, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 18, 27, 36, 45, 63, 72, 81, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
= {10, 20, 30, 40, 50, 60, 70, 80}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 40, 50, 90, 100}
= {10, 20, 30, 50, 60, 70, 80, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 20, 24, 28, 32, 40}
= {4, 12, 20, 28, 32, 40, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 33, 44, 66, 77, 88, 110}
= {22, 33, 44, 55, 66, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 48, 72, 96}
= {16, 24, 32, 72, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, c, d, e, g,h, i, j,k, l}
= {b, c, d, e, f , g,h, j,k}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {18, 27, 63, 72, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {2, 5, 7, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 20, 25, 30, 35, 40, 45, 50, 55}
= {15, 20, 25, 35, 45, 50, 55}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
59). Dado el conjunto universal:
y los subconjuntos:
60). Dado el conjunto universal:
y los subconjuntos:
61). Dado el conjunto universal:
y los subconjuntos:
62). Dado el conjunto universal:
y los subconjuntos:
63). Dado el conjunto universal:
y los subconjuntos:
64). Dado el conjunto universal:
y los subconjuntos:
65). Dado el conjunto universal:
y los subconjuntos:
66). Dado el conjunto universal:
y los subconjuntos:
67). Dado el conjunto universal:
y los subconjuntos:
68). Dado el conjunto universal:
y los subconjuntos:
69). Dado el conjunto universal:
y los subconjuntos:
70). Dado el conjunto universal:
y los subconjuntos:
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 33, 44, 55, 77, 88, 110}
= {11, 33, 55, 66, 77, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {12, 16, 20, 24, 28, 36, 40, 44}
= {4, 24, 36, 40, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 25, 30, 35, 40, 45, 50, 55}
= {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 6, 9, 12, 15, 18, 21, 24, 30, 33, 36}
= {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 8, 12, 14, 16, 18, 20, 22, 24}
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
= {16, 24, 40, 56, 72, 88}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {10, 25, 30, 40, 45, 50, 55, 60}
= {10, 15, 25, 30, 35, 40, 45, 55}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 49, 56, 63, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
= {5, 15, 25, 35, 40, 50}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h,i, j,k, l}
= {a, d, e, f , g, i,k}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 36, 72, 84, 96, 108}
= {12, 24, 48, 84, 108}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {5, 7, 13, 23, 29, 37}
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
71). Dado el conjunto universal:
y los subconjuntos:
72). Dado el conjunto universal:
y los subconjuntos:
73). Dado el conjunto universal:
y los subconjuntos:
74). Dado el conjunto universal:
y los subconjuntos:
75). Dado el conjunto universal:
y los subconjuntos:
76). Dado el conjunto universal:
y los subconjuntos:
77). Dado el conjunto universal:
y los subconjuntos:
78). Dado el conjunto universal:
y los subconjuntos:
79). Dado el conjunto universal:
y los subconjuntos:
80). Dado el conjunto universal:
y los subconjuntos:
81). Dado el conjunto universal:
y los subconjuntos:
82). Dado el conjunto universal:
y los subconjuntos:
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 42, 49, 56, 63}
= {7, 14, 21, 28, 35, 42, 49, 70, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {10, 15, 35, 45, 55}
= {5, 10, 25, 30, 35, 40, 45, 50, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37}
= {3, 11, 23, 29, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {3, 5, 7, 13, 37}
= {3, 5, 7, 17, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 27, 45, 54, 90}
= {54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m, o, q, r, s, t, v,x}
= {m,n, o, q, s, t, v,w,x}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {12, 18, 24, 30, 36, 42, 54, 66, 72}
= {6, 12, 18, 24, 42, 48, 66}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 12, 14, 20, 22, 24}
= {2, 4, 6, 12, 16, 18, 20, 22}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
= {8, 24, 32, 40, 48, 56, 64, 72, 80, 88}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 33, 55, 66, 77, 88, 99, 110}
= {22, 33, 44, 55, 66, 77, 88, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {c, f ,h, j,k, l}
= {b, d, e, g,h}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {12, 16, 20, 24, 32, 36, 44, 48}
= {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
83). Dado el conjunto universal:
y los subconjuntos:
84). Dado el conjunto universal:
y los subconjuntos:
85). Dado el conjunto universal:
y los subconjuntos:
86). Dado el conjunto universal:
y los subconjuntos:
87). Dado el conjunto universal:
y los subconjuntos:
88). Dado el conjunto universal:
y los subconjuntos:
89). Dado el conjunto universal:
y los subconjuntos:
90). Dado el conjunto universal:
y los subconjuntos:
91). Dado el conjunto universal:
y los subconjuntos:
92). Dado el conjunto universal:
y los subconjuntos:
93). Dado el conjunto universal:
y los subconjuntos:
94). Dado el conjunto universal:
y los subconjuntos:
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {3, 7, 11, 13, 19, 23, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 27, 45, 54, 63, 72, 81, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 72, 88, 96}
= {8, 16, 32, 40, 64, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h, i, j,k, l}
= {a, b, c, e, f , g, i, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 8, 12, 16, 24}
= {4, 12, 16, 20, 24, 36, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {22, 44, 55, 66, 77, 88, 110}
= {11, 22, 44, 55, 66, 88, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 28, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 60, 70, 100}
= {20, 40, 50, 70, 80, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 30, 40, 50, 60, 70, 100}
= {40, 50, 60, 80, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {18, 36, 45, 81, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 15, 20, 25, 30, 35, 50, 55, 60}
= {10, 25, 35, 45, 50}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
= {6, 8, 10, 12, 14, 16, 20, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
95). Dado el conjunto universal:
y los subconjuntos:
96). Dado el conjunto universal:
y los subconjuntos:
97). Dado el conjunto universal:
y los subconjuntos:
98). Dado el conjunto universal:
y los subconjuntos:
99). Dado el conjunto universal:
y los subconjuntos:
100). Dado el conjunto universal:
y los subconjuntos:
101). Dado el conjunto universal:
y los subconjuntos:
102). Dado el conjunto universal:
y los subconjuntos:
103). Dado el conjunto universal:
y los subconjuntos:
104). Dado el conjunto universal:
y los subconjuntos:
105). Dado el conjunto universal:
y los subconjuntos:
106). Dado el conjunto universal:
y los subconjuntos:
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {6, 8, 14, 22, 24}
= {4, 6, 8, 10, 12, 16, 18, 20, 22}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 6, 10, 12, 16, 20, 22}
= {2, 4, 8, 12, 14, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 6, 12, 15, 21, 24, 30, 33, 36}
= {3, 6, 9, 12, 18, 21, 24, 27, 30, 33, 36}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 30, 42, 48, 60, 66, 72}
= {6, 12, 18, 24, 30, 36, 42, 54, 60, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 40, 70, 80}
= {10, 20, 30, 40, 50, 60, 70, 90, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 36, 45, 63, 81}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m,n, o, q, s, t,u, v}
= {m,n, o, p, r, s, t,u, v,w,x}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 15, 20, 30, 35, 40, 45, 55, 60}
= {5, 10, 20, 25, 30, 35, 40, 45, 50, 55, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56,64, 72, 80, 88, 96}
A
B
= {8, 24, 40, 72, 96}
= {16, 24, 32, 40, 48, 56, 64, 72, 80}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {14, 21, 28, 35, 42, 49, 63, 70, 84}
= {14, 21, 35, 42, 49, 63, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {22, 44, 66, 77, 88, 99}
= {33, 44, 55, 66, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {5, 11, 13, 19, 23, 29, 31}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
107). Dado el conjunto universal:
y los subconjuntos:
108). Dado el conjunto universal:
y los subconjuntos:
109). Dado el conjunto universal:
y los subconjuntos:
110). Dado el conjunto universal:
y los subconjuntos:
111). Dado el conjunto universal:
y los subconjuntos:
112). Dado el conjunto universal:
y los subconjuntos:
113). Dado el conjunto universal:
y los subconjuntos:
114). Dado el conjunto universal:
y los subconjuntos:
115). Dado el conjunto universal:
y los subconjuntos:
116). Dado el conjunto universal:
y los subconjuntos:
117). Dado el conjunto universal:
y los subconjuntos:
118). Dado el conjunto universal:
y los subconjuntos:
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 36, 45, 54, 63, 72, 81, 90}
= {18, 36, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {18, 36, 45, 54, 63, 72, 81}
= {9, 18, 27, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 30, 40, 60, 70, 80, 100}
= {10, 20, 40, 50, 60, 70, 80, 90, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 20, 24, 28, 32, 36, 40, 44}
= {8, 20, 24, 32, 36, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 36, 48, 54, 60, 66}
= {6, 12, 18, 24, 30, 36, 42, 48, 54, 66}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 37}
= {3, 7, 11, 13, 17, 19, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 40, 48, 56, 72, 80}
= {16, 24, 32, 40, 48, 64, 72, 80}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {b, d, e, g, j,k}
= {b, c, d, f , g,h, i, j,k}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 30, 35, 40, 45, 50, 55, 60}
= {10, 20, 35, 40, 45, 50, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {d, e, f , g, i, j,k}
= {a, b, d, e, i, j,k}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {28, 32, 36, 40, 44}
= {4, 12, 16, 28, 36, 40, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, g, j, l}
= {a, b, d, e, f , g,h, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
119). Dado el conjunto universal:
y los subconjuntos:
120). Dado el conjunto universal:
y los subconjuntos:
121). Dado el conjunto universal:
y los subconjuntos:
122). Dado el conjunto universal:
y los subconjuntos:
123). Dado el conjunto universal:
y los subconjuntos:
124). Dado el conjunto universal:
y los subconjuntos:
125). Dado el conjunto universal:
y los subconjuntos:
126). Dado el conjunto universal:
y los subconjuntos:
127). Dado el conjunto universal:
y los subconjuntos:
128). Dado el conjunto universal:
y los subconjuntos:
129). Dado el conjunto universal:
y los subconjuntos:
130). Dado el conjunto universal:
y los subconjuntos:
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h, i, j,k, l}
= {b, c, d, e, f , g, i}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 24, 30, 42, 48, 54, 66, 72}
= {6, 12, 18, 24, 30, 36}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 9, 12, 18, 21, 36}
= {3, 6, 9, 12, 15, 18, 21, 24, 33}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {30, 50, 60, 80, 90}
= {10, 20, 30, 40, 60, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 10, 14, 18, 24}
= {2, 4, 6, 8, 10, 14, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 42, 49, 56, 63, 70, 77, 84}
= {7, 28, 42, 63, 70}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 36, 48, 60, 72, 84, 96, 120}
= {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {15, 25, 35, 40, 50, 55, 60}
= {5, 15, 20, 25, 30, 35, 40, 45, 55}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 5, 7, 11, 13, 17, 19, 23, 29, 31}
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 36, 48, 60, 72, 84, 96}
= {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 64, 80, 96}
= {16, 40, 64, 80, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {b, c, e, f , g, i, j,k}
= {a, b, c,h, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
131). Dado el conjunto universal:
y los subconjuntos:
132). Dado el conjunto universal:
y los subconjuntos:
133). Dado el conjunto universal:
y los subconjuntos:
134). Dado el conjunto universal:
y los subconjuntos:
135). Dado el conjunto universal:
y los subconjuntos:
136). Dado el conjunto universal:
y los subconjuntos:
137). Dado el conjunto universal:
y los subconjuntos:
138). Dado el conjunto universal:
y los subconjuntos:
139). Dado el conjunto universal:
y los subconjuntos:
140). Dado el conjunto universal:
y los subconjuntos:
141). Dado el conjunto universal:
y los subconjuntos:
142). Dado el conjunto universal:
y los subconjuntos:
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
= {22, 33, 66, 77, 99}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, e, f ,h, j,k, l}
= {a, c, d, e, f ,h, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {22, 33, 44, 55, 77, 88}
= {22, 33, 77, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 32, 48, 72, 88}
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 11, 13, 17, 19, 23, 29, 31, 37}
= {5, 7, 11, 13, 17, 19, 29, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, f , g,h, i, j,k, l}
= {b, c, d, e, g,h, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 18, 27, 36, 45, 54, 63, 72, 90}
= {9, 18, 27, 36, 54, 63, 72, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B,,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 77, 99, 110}
= {11, 22, 33, 44, 55, 66, 77, 99}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
= {6, 15, 18, 24, 33}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {28, 35, 42, 63, 70, 84}
= {7, 21, 35, 63, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {20, 25, 35, 40, 50, 55, 60}
= {5, 10, 15, 20, 25, 30, 35, 50, 55, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
143). Dado el conjunto universal:
y los subconjuntos:
144). Dado el conjunto universal:
y los subconjuntos:
145). Dado el conjunto universal:
y los subconjuntos:
146). Dado el conjunto universal:
y los subconjuntos:
147). Dado el conjunto universal:
y los subconjuntos:
148). Dado el conjunto universal:
y los subconjuntos:
149). Dado el conjunto universal:
y los subconjuntos:
150). Dado el conjunto universal:
y los subconjuntos:
151). Dado el conjunto universal:
y los subconjuntos:
152). Dado el conjunto universal:
y los subconjuntos:
153). Dado el conjunto universal:
y los subconjuntos:
154). Dado el conjunto universal:
y los subconjuntos:
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m,n, o, p, q, r, s, t,u, v,x}
= {m,n, o, p, q, r, s, t,u, v,w,x}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
= {2, 4, 8, 10, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {16, 48, 56, 64, 72, 88, 96}
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 12, 14, 16, 18, 20}
= {2, 6, 8, 10, 12, 16, 18}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
= {22, 33, 44, 77, 88, 99}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 28, 35, 42, 56, 70, 77, 84}
= {7, 14, 21, 42, 49, 56, 63, 70, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 56, 72, 80, 88, 96}
= {8, 16, 32, 40, 48, 56, 64, 72, 80, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 48, 60, 72, 84, 96, 108}
= {24, 36, 48, 60, 72, 84, 108}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 36, 42, 48, 54, 66, 72}
= {6, 12, 18, 24, 30, 36, 42, 54, 60, 66}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 15, 20, 25, 30, 35, 40, 50, 55, 60}
= {5, 30, 35, 40, 50, 55, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 50, 60, 70, 80, 90, 100}
= {10, 40, 60, 70, 80, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
= {12, 48, 72, 84, 96, 108}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
155). Dado el conjunto universal:
y los subconjuntos:
156). Dado el conjunto universal:
y los subconjuntos:
157). Dado el conjunto universal:
y los subconjuntos:
158). Dado el conjunto universal:
y los subconjuntos:
159). Dado el conjunto universal:
y los subconjuntos:
160). Dado el conjunto universal:
y los subconjuntos:
161). Dado el conjunto universal:
y los subconjuntos:
162). Dado el conjunto universal:
y los subconjuntos:
163). Dado el conjunto universal:
y los subconjuntos:
164). Dado el conjunto universal:
y los subconjuntos:
165). Dado el conjunto universal:
y los subconjuntos:
166). Dado el conjunto universal:
y los subconjuntos:
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 66, 88, 99}
= {11, 33, 44, 55, 66, 77, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {5, 7, 11, 19, 31, 37}
= {2, 3, 5, 7, 11, 13, 17, 23, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 33, 55, 66, 77}
= {11, 22, 33, 44, 55, 66, 88, 99, 110}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
= {4, 8, 12, 16, 20, 24, 28, 32, 40, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {24, 48, 60, 66, 72}
= {6, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 8, 12, 16, 28, 44}
= {4, 8, 12, 20, 24, 28, 32, 36, 40, 44, 48}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {6, 8, 12, 14, 16, 24}
= {2, 4, 6, 8, 10, 14, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m,n, o, p, r, s, t,u, v,w,x}
= {m,n, o, q, r,u, v,w}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 60, 80, 90, 100}
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 48, 54, 66, 72}
= {6, 24, 30, 36, 42, 48, 54, 60, 66, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 64, 72, 88, 96}
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
167). Dado el conjunto universal:
y los subconjuntos:
168). Dado el conjunto universal:
y los subconjuntos:
169). Dado el conjunto universal:
y los subconjuntos:
170). Dado el conjunto universal:
y los subconjuntos:
171). Dado el conjunto universal:
y los subconjuntos:
172). Dado el conjunto universal:
y los subconjuntos:
173). Dado el conjunto universal:
y los subconjuntos:
174). Dado el conjunto universal:
y los subconjuntos:
175). Dado el conjunto universal:
y los subconjuntos:
176). Dado el conjunto universal:
y los subconjuntos:
177). Dado el conjunto universal:
y los subconjuntos:
178). Dado el conjunto universal:
y los subconjuntos:
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m,n, o, p, q, r, s, t,u, v,w,x}
= {m,n, p, r, s, t,w,x}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {16, 32, 40, 56, 88, 96}
= {8, 16, 32, 40, 48, 64, 72, 80, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 12, 16, 20, 24, 28, 32, 36, 48}
= {4, 8, 12, 16, 24, 28, 40, 44}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 6, 10, 16, 18, 22}
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U ={9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {18, 27, 45, 72, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37}
= {5, 7, 17, 19, 23, 29, 31}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
= {18, 24, 30, 36, 42, 48, 66, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m,n, o, q, r, t,u, v}
= {m,n, p, q, r, s, t,u, v,w,x}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 25, 35, 50, 55, 60}
= {10, 15, 20, 25, 30, 35, 40, 50}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 36, 42, 60, 72}
= {12, 18, 24, 30, 36, 48, 60, 72}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {20, 40, 50, 60, 70, 80, 100}
= {10, 20, 30, 40, 50, 70, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {16, 32, 48, 64, 72, 80, 88, 96}
= {8, 24, 32, 40, 48, 56, 64, 72, 88}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
179). Dado el conjunto universal:
y los subconjuntos:
180). Dado el conjunto universal:
y los subconjuntos:
181). Dado el conjunto universal:
y los subconjuntos:
182). Dado el conjunto universal:
y los subconjuntos:
183). Dado el conjunto universal:
y los subconjuntos:
184). Dado el conjunto universal:
y los subconjuntos:
185). Dado el conjunto universal:
y los subconjuntos:
186). Dado el conjunto universal:
y los subconjuntos:
187). Dado el conjunto universal:
y los subconjuntos:
188). Dado el conjunto universal:
y los subconjuntos:
189). Dado el conjunto universal:
y los subconjuntos:
190). Dado el conjunto universal:
y los subconjuntos:
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 56, 84}
= {7, 21, 35, 42, 77}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {8, 12, 14, 18, 20}
= {4, 6, 12, 14, 16, 18, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 16, 22, 24}
= {2, 4, 12, 16, 18, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 35, 42, 49, 63, 70, 77}
= {7, 14, 21, 28, 35, 70, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 18, 36, 54, 63, 72}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {18, 27, 36, 45, 54, 63, 72}
= {36, 54, 72, 81, 90}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 48, 72, 84, 96}
= {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
= {12, 24, 36, 48, 84, 96, 108, 120}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m,n, o, r,u, v,x}
= {p, s, t, v,x}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {6, 9, 12, 24, 27, 30}
= {6, 9, 18, 21, 30, 33}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 5, 11, 13, 17, 19, 23, 29, 31}
= {3, 5, 7, 13, 17, 19, 23, 29, 31, 37}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
191). Dado el conjunto universal:
y los subconjuntos:
192). Dado el conjunto universal:
y los subconjuntos:
193). Dado el conjunto universal:
y los subconjuntos:
194). Dado el conjunto universal:
y los subconjuntos:
195). Dado el conjunto universal:
y los subconjuntos:
196). Dado el conjunto universal:
y los subconjuntos:
197). Dado el conjunto universal:
y los subconjuntos:
198). Dado el conjunto universal:
y los subconjuntos:
199). Dado el conjunto universal:
y los subconjuntos:
200). Dado el conjunto universal:
y los subconjuntos:
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 56, 70, 77}
= {7, 14, 21, 28, 42, 56, 63, 70, 77, 84}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 40, 48, 56, 64, 80, 88, 96}
= {24, 32, 48, 56, 64, 72, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 32, 48, 56, 64, 80, 88, 96}
= {8, 16, 40, 48, 88, 96}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {18, 21, 24, 30, 33}
= {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
= {2, 6, 14, 16, 18, 22}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, f ,h,k, l}
= {a, b, d, e, f , g,h, j,k, l}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {32, 40, 56, 72, 80, 88, 96}
= {40, 48, 56, 72, 80}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 20, 25, 30, 35, 40, 55, 60}
= {10, 15, 35, 55, 60}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {20, 30, 40, 80, 90}
= {10, 20, 40, 50, 60, 70, 100}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 12, 16, 18, 20, 22}
= {4, 8, 12, 14, 20, 22, 24}
Hallar: 
A
B
∪ B, A ∩ B, A − B
− A, A△B, ,Ac Bc
HOJA DE RESPUESTAS
Operaciones entre conjuntos
Resolver las operaciones indicadas:
1). Dado el conjunto universal:
y los subconjuntos:
Hallar:
2). Dado el conjunto universal:
y los subconjuntos:
Hallar:
3). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {12, 18, 24, 36, 42, 48, 54, 60, 66, 72}
= {6, 12, 18, 24, 30, 36, 42, 54, 60, 66}
A
A
A
B
A
A
B
∪ B = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
∩ B = {12, 18, 24, 36, 42, 54, 60, 66}
− B = {48, 72}
− A = {6, 30}
△B = {6, 30, 48, 72}
= {6, 30}c
= {48, 72}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
∩ B = {21, 28, 35, 42, 49, 56, 63, 70}
− B = {77, 84}
− A = {7, 14}
△B = {7, 14, 77, 84}
= {7, 14}c
= {77, 84}c
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 40, 70, 80, 90, 100}
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
A
A
B
A
A
B
∪ B = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
∩ B = {10, 20, 40, 70, 80, 90, 100}
− B = {}
− A = {30, 50, 60}
△B = {30, 50, 60}
= {30, 50, 60}c
= {}c
4). Dado el conjunto universal:
y los subconjuntos:
Hallar:
5). Dado el conjunto universal:
y los subconjuntos:
Hallar:
6). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, e, f , g, i, j,k, l}
= {a, b, c, d, e, f , g,h,i, j,k, l}
A
A
A
B
A
A
B
∪ B = {a, b, c, d, e, f , g,h, i, j,k, l}
∩ B = {a, b, c, e, f , g, i, j,k, l}
− B = {}
− A = {d,h}
△B = {d,h}
= {d,h}c
= {}c
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 9, 12, 15, 24, 33, 36}
= {12, 15, 24, 27, 30, 33}
A
A
A
B
A
A
B
∪ B = {3, 9, 12, 15, 24, 27, 30, 33, 36}
∩ B = {12, 15, 24, 33}
− B = {3, 9, 36}
− A = {27, 30}
△B = {3, 9, 27, 30, 36}
= {6, 18, 21, 27, 30}c
= {3, 6, 9, 18, 21, 36}c
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 6, 8, 10, 18, 20}
= {2, 4, 8, 18, 20, 22, 24}
A
A
A
B
A
A
B
∪ B = {2, 4, 6, 8, 10, 18, 20, 22, 24}
∩ B = {4, 8, 18, 20}
− B = {6, 10}
− A = {2, 22, 24}
△B = {2, 6, 10, 22, 24}
= {2, 12, 14, 16, 22, 24}c
= {6, 10, 12, 14, 16}c
7). Dado el conjunto universal:
y los subconjuntos:
Hallar:
8). Dado el conjunto universal:
y los subconjuntos:
Hallar:
9). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 80}
= {8, 16, 24, 32, 40, 48, 56, 72, 80, 88, 96}
A
A
A
B
A
A
B
∪ B = {8, 16, 24, 32, 40, 48, 56, 72, 80, 88, 96}
∩ B = {8, 16, 24, 32, 40, 80}
− B = {}
− A = {48, 56, 72, 88, 96}
△B = {48, 56, 72, 88, 96}
= {48, 56, 64, 72, 88, 96}c
= {64}c
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 48, 72, 84, 96, 108, 120}
= {12, 24, 48, 72, 120}
A
A
A
B
A
A
B
∪ B = {12, 24, 36, 48, 72, 84, 96, 108, 120}
∩ B = {12, 24, 48, 72, 120}
− B = {36, 84, 96, 108}
− A = {}
△B = {36, 84, 96, 108}
= {60}c
= {36, 60, 84, 96, 108}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
∩ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70}
− B = {77, 84}
− A = {}
△B = {77, 84}
= {}c
= {77, 84}c
10). Dado el conjunto universal:
y los subconjuntos:
Hallar:
11). Dado el conjunto universal:
y los subconjuntos:
Hallar:
12). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, c, d, e,k}
= {a, b, c, d, e, f , g,h, i, j,k, l}
A
A
A
B
A
A
B
∪ B = {a, b, c, d, e, f , g,h, i, j,k, l}
∩ B = {a, c, d, e,k}
− B = {}
− A = {b, f , g,h, i, j, l}
△B = {b, f , g,h, i, j, l}
= {b, f , g,h, i, j, l}c
= {}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 21, 28, 35, 42, 49, 56, 63, 77, 84}
= {7, 14, 21, 35, 42, 49, 56, 63, 70, 77, 84}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
∩ B = {7, 21, 35, 42, 49, 56, 63, 77, 84}
− B = {28}
− A = {14, 70}
△B = {14, 28, 70}
= {14, 70}c
= {28}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 35, 42, 49, 56, 63, 70, 77}
= {7, 28, 35, 42, 49, 56, 77}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77}
∩ B = {7, 35, 42, 49, 56, 77}
− B = {14, 21, 63, 70}
− A = {28}
△B = {14, 21, 28, 63, 70}
= {28, 84}c
= {14, 21, 63, 70, 84}c
13). Dado el conjunto universal:
y los subconjuntos:
Hallar:
14). Dado el conjunto universal:
y los subconjuntos:
Hallar:
15). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {10, 30, 35, 40, 55}
= {15, 25, 30, 45, 50, 60}
A
A
A
B
A
A
B
∪ B = {10, 15, 25, 30, 35, 40, 45, 50, 55, 60}
∩ B = {30}
− B = {10, 35, 40, 55}
− A = {15, 25, 45, 50, 60}
△B = {10, 15, 25, 35, 40, 45, 50, 55, 60}
= {5, 15, 20, 25, 45, 50, 60}c
= {5, 10, 20, 35, 40, 55}c
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 50, 60, 70, 90}
= {10, 20, 50, 70, 80, 100}
A
A
A
B
A
A
B
∪ B = {10, 20, 50, 60, 70, 80, 90, 100}
∩ B = {10, 20, 50, 70}
− B = {60, 90}
− A = {80, 100}
△B = {60, 80, 90, 100}
= {30, 40, 80, 100}c
= {30, 40, 60, 90}c
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 88, 96}
= {8, 16, 24, 40, 48, 64, 72, 88, 96}
A
A
A
B
A
A
B
∪ B = {8, 16, 24, 32, 40, 48, 56, 64, 72, 88, 96}
∩ B = {8, 16, 24, 40, 48, 64, 72, 88, 96}
− B = {32, 56}
− A = {}
△B = {32, 56}
= {80}c
= {32, 56, 80}c
16). Dado el conjunto universal:
y los subconjuntos:
Hallar:
17). Dado el conjunto universal:
y los subconjuntos:
Hallar:
18). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 18, 24, 42, 48, 54, 60}
= {6, 12, 18, 24, 30, 36, 48, 54, 60, 66, 72}
A
A
A
B
A
A
B
∪ B = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
∩ B = {6, 18, 24, 48, 54, 60}
− B = {42}
− A = {12, 30, 36, 66, 72}
△B = {12, 30, 36, 42, 66, 72}
= {12, 30, 36, 66, 72}c
= {42}c
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 36, 42, 48, 54, 60, 66, 72}
= {6, 18, 24, 30, 42, 48}
A
A
A
B
A
A
B
∪ B = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
∩ B = {6, 18, 24, 42, 48}
− B = {12, 36, 54, 60, 66, 72}
− A = {30}
△B = {12, 30, 36, 54, 60, 66, 72}
= {30}c
= {12, 36, 54, 60, 66, 72}c
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 99}
= {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
∩ B = {11, 22, 44, 55, 66, 99}
− B = {}
− A = {33, 77, 88, 110}
△B = {33, 77, 88, 110}
= {33, 77, 88, 110}c
= {}c
19). Dado el conjunto universal:
y los subconjuntos:
Hallar:
20). Dado el conjunto universal:
y los subconjuntos:
Hallar:
21). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 56, 63, 70, 84}
= {28, 35, 42, 49, 56, 70, 77, 84}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
∩ B = {28, 35, 56, 70, 84}
− B = {7, 14, 21, 63}
− A = {42, 49, 77}
△B = {7, 14, 21, 42, 49, 63, 77}
= {42, 49, 77}c
= {7, 14, 21, 63}c
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {6, 9, 12, 15, 18, 21, 24, 30, 33, 36}
= {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
A
A
B
A
A
B
∪ B = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
∩ B = {6, 9, 12, 15, 18, 21, 24, 30, 33, 36}
− B = {}
− A = {3, 27}
△B = {3, 27}
= {3, 27}c
= {}c
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 40, 80, 100}
= {30, 40, 50, 60, 90}
A
A
A
B
A
A
B
∪ B = {10, 20, 30, 40, 50, 60, 80, 90, 100}
∩ B = {40}
− B = {10, 20, 80, 100}
− A = {30, 50, 60, 90}
△B = {10, 20, 30, 50, 60, 80, 90, 100}
= {30, 50, 60, 70, 90}c
= {10, 20, 70, 80, 100}c
22). Dado el conjunto universal:
y los subconjuntos:
Hallar:
23). Dado el conjunto universal:
y los subconjuntos:
Hallar:
24). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 10, 12, 14, 18, 24}
= {4, 6, 8, 10, 14, 16, 18, 22, 24}
A
A
A
B
A
A
B
∪ B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 22, 24}
∩ B = {4, 6, 10, 14, 18, 24}
− B = {2, 12}
− A = {8, 16, 22}
△B = {2, 8, 12, 16, 22}
= {8, 16, 20, 22}c
= {2, 12, 20}c
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {24, 48, 56, 72, 88, 96}
= {16, 32, 56, 64, 80, 96}
A
A
A
B
A
A
B
∪ B = {16, 24, 32, 48, 56, 64, 72, 80, 88, 96}
∩ B = {56, 96}
− B = {24, 48, 72, 88}
− A = {16, 32, 64, 80}
△B = {16, 24, 32, 48, 64, 72, 80, 88}
= {8, 16, 32, 40, 64, 80}c
= {8, 24, 40, 48, 72, 88}c
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 25, 30, 35, 45, 50, 60}
= {5, 10, 20, 25, 30, 35, 45, 50, 55}
A
A
A
B
A
A
B
∪ B = {5, 10, 15, 20, 25, 30, 35, 45, 50, 55, 60}
∩ B = {5, 10, 20, 25, 30, 35, 45, 50}
− B = {15, 60}
− A = {55}
△B = {15, 55, 60}
= {40, 55}c
= {15, 40, 60}c
25). Dado el conjunto universal:
y los subconjuntos:
Hallar:
26). Dado el conjunto universal:
y los subconjuntos:
Hallar:
27). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U ={6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
= {6, 18, 24, 30, 54, 60, 66}
A
A
A
B
A
A
B
∪ B = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
∩ B = {6, 18, 24, 30, 54, 60, 66}
− B = {12, 36, 42, 48, 72}
− A = {}
△B = {12, 36, 42, 48, 72}
= {}c
= {12, 36, 42, 48, 72}c
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 77, 88, 99, 110}
= {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
∩ B = {11, 22, 44, 55, 66, 77, 88, 99, 110}
− B = {}
− A = {33}
△B = {33}
= {33}c
= {}c
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h, j,k, l}
= {a, f , g, i, j,k}
A
A
A
B
A
A
B
∪ B = {a, b, c, d, e, f , g,h, i, j,k, l}
∩ B = {a, f , g, j,k}
− B = {b, c, d, e,h, l}
− A = {i}
△B = {b, c, d, e,h, i, l}
= {i}c
= {b, c, d, e,h, l}c
28). Dado el conjunto universal:
y los subconjuntos:
Hallar:
29). Dado el conjunto universal:
y los subconjuntos:
Hallar:
30). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 50, 60, 70, 80, 90}
= {10, 20, 30, 40, 50, 80, 100}
A
A
A
B
A
A
B
∪ B = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
∩ B = {10, 20, 30, 50, 80}
− B = {60, 70, 90}
− A = {40, 100}
△B = {40, 60, 70, 90, 100}
= {40, 100}c
= {60, 70, 90}c
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, c, d, e,h, i, j,k, l}
= {a, c, d, g,h, j,k, l}
A
A
A
B
A
A
B
∪ B = {a, c, d, e, g,h, i, j,k, l}
∩ B = {a, c, d,h, j,k, l}
− B = {e, i}
− A = {g}
△B = {e, g, i}
= {b, f , g}c
= {b, e, f , i}c
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 6, 9, 12, 18, 24, 27, 30, 33, 36}
= {3, 6, 9, 12, 18, 21, 24, 27, 36}
A
A
A
B
A
A
B
∪ B = {3, 6, 9, 12, 18, 21, 24, 27, 30, 33, 36}
∩ B = {3, 6, 9, 12, 18, 24, 27, 36}
− B = {30, 33}
− A = {21}
△B = {21, 30, 33}
= {15, 21}c
= {15, 30, 33}c
31). Dado el conjunto universal:
y los subconjuntos:
Hallar:
32). Dado el conjunto universal:
y los subconjuntos:
Hallar:
33). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 44, 55, 66, 77, 88, 110}
= {33, 44, 55, 66, 77, 88, 99, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
∩ B = {44, 55, 66, 77, 88, 110}
− B = {11, 22}
− A = {33, 99}
△B = {11, 22, 33, 99}
= {33, 99}c
= {11, 22}c
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {6, 12, 18, 24, 30, 36, 42, 48, 60, 72}
= {12, 18, 30, 42, 72}
A
A
A
B
A
A
B
∪ B = {6, 12, 18, 24, 30, 36, 42, 48, 60, 72}
∩ B = {12, 18, 30, 42, 72}
− B = {6, 24, 36, 48, 60}
− A = {}
△B = {6, 24, 36, 48, 60}
= {54, 66}c
= {6, 24, 36, 48, 54, 60, 66}c
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 40, 45, 50, 55, 60}
= {10, 15, 20, 30, 40, 50, 55, 60}
A
A
A
B
A
A
B
∪ B = {5, 10, 15, 20, 30, 40, 45, 50, 55, 60}
∩ B = {10, 15, 20, 40, 50, 55, 60}
− B = {5, 45}
− A = {30}
△B = {5, 30, 45}
= {25, 30, 35}c
= {5, 25, 35, 45}c
34). Dado el conjunto universal:
y los subconjuntos:
Hallar:
35). Dado el conjunto universal:
y los subconjuntos:
Hallar:
36). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 24, 36, 60, 72, 84, 96, 108}
= {12, 24, 60, 84, 120}
A
A
A
B
A
A
B
∪ B = {12, 24, 36, 60, 72, 84, 96, 108, 120}
∩ B = {12, 24, 60, 84}
− B = {36, 72, 96, 108}
− A = {120}
△B = {36, 72, 96, 108, 120}
= {48, 120}c
= {36, 48, 72, 96, 108}c
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
= {20, 30, 50, 70, 80}
A
A
A
B
A
A
B
∪ B = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
∩ B = {20, 30, 50, 70, 80}
− B = {10, 40, 60, 90, 100}
− A = {}
△B = {10, 40, 60, 90, 100}
= {}c
= {10, 40, 60, 90, 100}c
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {b, c, d, e, f , g,h, j,k, l}
= {b, c, d, e, f ,h, i, j}
A
A
A
B
A
A
B
∪ B = {b, c, d, e, f , g,h, i, j,k, l}
∩ B = {b, c, d, e, f ,h, j}
− B = {g,k, l}
− A = {i}
△B = {g, i,k, l}
= {a, i}c
= {a, g,k, l}c
37). Dado el conjunto universal:
y los subconjuntos:
Hallar:
38). Dado el conjunto universal:
y los subconjuntos:
Hallar:
39). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {3, 5, 7, 11, 13, 17, 19, 29, 31, 37}
A
A
A
B
A
A
B
∪ B = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
∩ B = {3, 5, 7, 11, 13, 17, 19, 29, 31, 37}
− B = {2, 23}
− A = {}
△B = {2, 23}
= {}c
= {2, 23}c
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {7, 11, 13, 17, 19, 23, 29, 31, 37}
A
A
A
B
A
A
B
∪ B = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
∩ B = {7, 11, 13, 17, 19, 23, 29, 31, 37}
− B = {2, 3, 5}
− A = {}
△B = {2, 3, 5}
= {}c
= {2, 3, 5}c
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 18, 27, 36, 45, 54, 63, 81, 90}
= {9, 18, 27, 45, 54, 63, 72, 81, 90}
A
A
A
B
A
A
B
∪ B = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
∩ B = {9, 18, 27, 45, 54, 63, 81, 90}
− B = {36}
− A = {72}
△B = {36, 72}
= {72}c
= {36}c
40). Dado el conjunto universal:
y los subconjuntos:
Hallar:
41). Dado el conjunto universal:
y los subconjuntos:
Hallar:
42). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 16, 20, 28, 32, 36, 40, 44}
= {8, 12, 16, 28, 32, 36, 48}
A
A
A
B
A
A
B
∪ B = {4, 8, 12, 16, 20, 28, 32, 36, 40, 44, 48}
∩ B = {16, 28, 32, 36}
− B = {4, 20, 40, 44}
− A = {8, 12, 48}
△B = {4, 8, 12, 20, 40, 44, 48}
= {8, 12, 24, 48}c
= {4, 20, 24, 40, 44}c
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 6, 8, 10, 12, 14, 16, 24}
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
A
A
B
A
A
B
∪ B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
∩ B = {4, 6, 8, 10, 12, 14, 16, 24}
− B = {}
− A = {2, 18, 20, 22}
△B = {2, 18, 20, 22}
= {2, 18, 20, 22}c
= {}c
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 15, 20, 25, 35, 40, 50, 55, 60}
= {10, 20, 25, 30, 35, 45, 50, 60}
A
A
A
B
A
A
B
∪ B = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
∩ B = {10, 20, 25, 35, 50, 60}
− B = {5, 15, 40, 55}
− A = {30, 45}
△B = {5, 15, 30, 40, 45, 55}
= {30, 45}c
= {5, 15, 40, 55}c
43). Dado el conjunto universal:
y los subconjuntos:
Hallar:
44). Dado el conjunto universal:
y los subconjuntos:
Hallar:
45). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 42, 49, 56, 63, 70, 77, 84}
= {7, 14, 35, 42, 56, 70, 77, 84}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
∩ B = {7, 14, 42, 56, 70, 77, 84}
− B = {21, 28, 49, 63}
− A = {35}
△B = {21, 28, 35, 49, 63}
= {35}c
= {21, 28, 49, 63}c
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {8, 12, 16, 28, 32, 44, 48}
= {4, 8, 12, 16, 20, 24, 28, 32, 36, 44, 48}
A
A
A
B
A
A
B
∪ B = {4, 8, 12, 16, 20, 24, 28, 32, 36, 44, 48}
∩ B = {8, 12, 16, 28, 32, 44, 48}
− B = {}
− A = {4, 20, 24, 36}
△B = {4, 20, 24, 36}
= {4, 20, 24, 36, 40}c
= {40}c
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {2, 5, 7, 11, 13, 17, 31, 37}
A
A
A
B
A
A
B
∪ B = {2, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
∩ B = {2, 7, 11, 13, 17, 31, 37}
− B = {19, 23, 29}
− A = {5}
△B = {5, 19, 23, 29}
= {3, 5}c
= {3, 19, 23, 29}c
46). Dado el conjunto universal:
y los subconjuntos:
Hallar:
47). Dado el conjunto universal:
y los subconjuntos:
Hallar:
48). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {27, 45, 54, 63, 81,90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
A
A
B
A
A
B
∪ B = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
∩ B = {27, 45, 54, 63, 81, 90}
− B = {}
− A = {9, 18, 36, 72}
△B = {9, 18, 36, 72}
= {9, 18, 36, 72}c
= {}c
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 48, 60, 84, 120}
= {12, 24, 36, 48, 60, 72, 84, 96, 120}
A
A
A
B
A
A
B
∪ B = {12, 24, 36, 48, 60, 72, 84, 96, 120}
∩ B = {12, 48, 60, 84, 120}
− B = {}
− A = {24, 36, 72, 96}
△B = {24, 36, 72, 96}
= {24, 36, 72, 96, 108}c
= {108}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {14, 21, 28, 35, 56, 63, 70, 77, 84}
= {7, 14, 28, 35, 49, 56, 63, 70, 77, 84}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 49, 56, 63, 70, 77, 84}
∩ B = {14, 28, 35, 56, 63, 70, 77, 84}
− B = {21}
− A = {7, 49}
△B = {7, 21, 49}
= {7, 42, 49}c
= {21, 42}c
49). Dado el conjunto universal:
y los subconjuntos:
Hallar:
50). Dado el conjunto universal:
y los subconjuntos:
Hallar:
51). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 18, 27, 36, 45, 63, 72, 81, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
A
A
B
A
A
B
∪ B = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
∩ B = {9, 18, 27, 36, 45, 63, 72, 81, 90}
− B = {}
− A = {54}
△B = {54}
= {54}c
= {}c
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
= {10, 20, 30, 40, 50, 60, 70, 80}
A
A
A
B
A
A
B
∪ B = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
∩ B = {10, 20, 30, 40, 50, 60, 70, 80}
− B = {90, 100}
− A = {}
△B = {90, 100}
= {}c
= {90, 100}c
U = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
A
B
= {10, 40, 50, 90, 100}
= {10, 20, 30, 50, 60, 70, 80, 100}
A
A
A
B
A
A
B
∪ B = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
∩ B = {10, 50, 100}
− B = {40, 90}
− A = {20, 30, 60, 70, 80}
△B = {20, 30, 40, 60, 70, 80, 90}
= {20, 30, 60, 70, 80}c
= {40, 90}c
52). Dado el conjunto universal:
y los subconjuntos:
Hallar:
53). Dado el conjunto universal:
y los subconjuntos:
Hallar:
54). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 20, 24, 28, 32, 40}
= {4, 12, 20, 28, 32, 40, 44, 48}
A
A
A
B
A
A
B
∪ B = {4, 12, 20, 24, 28, 32, 40, 44, 48}
∩ B = {4, 20, 28, 32, 40}
− B = {24}
− A = {12, 44, 48}
△B = {12, 24, 44, 48}
= {8, 12, 16, 36, 44, 48}c
= {8, 16, 24, 36}c
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 33, 44, 66, 77, 88, 110}
= {22, 33, 44, 55, 66, 88, 99, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
∩ B = {22, 33, 44, 66, 88, 110}
− B = {11, 77}
− A = {55, 99}
△B = {11, 55, 77, 99}
= {55, 99}c
= {11, 77}c
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 48, 72, 96}
= {16, 24, 32, 72, 96}
A
A
A
B
A
A
B
∪ B = {8, 16, 24, 32, 48, 72, 96}
∩ B = {16, 24, 32, 72, 96}
− B = {8, 48}
− A = {}
△B = {8, 48}
= {40, 56, 64, 80, 88}c
= {8, 40, 48, 56, 64, 80, 88}c
55). Dado el conjunto universal:
y los subconjuntos:
Hallar:
56). Dado el conjunto universal:
y los subconjuntos:
Hallar:
57). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, c, d, e, g,h, i, j,k, l}
= {b, c, d, e, f , g,h, j,k}
A
A
A
B
A
A
B
∪ B = {a, b, c, d, e, f , g,h, i, j,k, l}
∩ B = {c, d, e, g,h, j,k}
− B = {a, i, l}
− A = {b, f}
△B = {a, b, f , i, l}
= {b, f}c
= {a, i, l}c
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {18, 27, 63, 72, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
A
A
B
A
A
B
∪ B = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
∩ B = {18, 27, 63, 72, 90}
− B = {}
− A = {9, 36, 45, 54, 81}
△B = {9, 36, 45, 54, 81}
= {9, 36, 45, 54, 81}c
= {}c
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {2, 5, 7, 29, 31, 37}
A
A
A
B
A
A
B
∪ B = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
∩ B = {2, 5, 7, 29, 31, 37}
− B = {3, 11, 13, 17, 19, 23}
− A = {}
△B = {3, 11, 13, 17, 19, 23}
= {}c
= {3, 11, 13, 17, 19, 23}c
58). Dado el conjunto universal:
y los subconjuntos:
Hallar:
59). Dado el conjunto universal:
y los subconjuntos:
Hallar:
60). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 20, 25, 30, 35, 40, 45, 50, 55}
= {15, 20, 25, 35, 45, 50, 55}
A
A
A
B
A
A
B
∪ B = {5, 15, 20, 25, 30, 35, 40, 45, 50, 55}
∩ B = {20, 25, 35, 45, 50, 55}
− B = {5, 30, 40}
− A = {15}
△B = {5, 15, 30, 40}
= {10, 15, 60}c
= {5, 10, 30, 40, 60}c
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 22, 33, 44, 55, 77, 88, 110}
= {11, 33, 55, 66, 77, 88, 99, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
∩ B = {11, 33, 55, 77, 88, 110}
− B = {22, 44}
− A = {66, 99}
△B = {22, 44, 66, 99}
= {66, 99}c
= {22, 44}c
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {12, 16, 20, 24, 28, 36, 40, 44}
= {4, 24, 36, 40, 44, 48}
A
A
A
B
A
A
B
∪ B = {4, 12, 16, 20, 24, 28, 36, 40, 44, 48}
∩ B = {24, 36, 40, 44}
− B = {12, 16, 20, 28}
− A = {4, 48}
△B = {4, 12, 16, 20, 28, 48}
= {4, 8, 32, 48}c
= {8, 12, 16, 20, 28, 32}c
61). Dado el conjunto universal:
y los subconjuntos:
Hallar:
62). Dado el conjunto universal:
y los subconjuntos:
Hallar:
63). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 10, 25, 30, 35, 40, 45, 50, 55}
= {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
A
A
B
A
A
B
∪ B = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
∩ B = {5, 10, 25, 30, 35, 40, 45, 50, 55}
− B = {}
− A = {15, 20, 60}
△B = {15, 20, 60}
= {15, 20, 60}c
= {}c
U = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
B
= {3, 6, 9, 12, 15, 18, 21, 24, 30, 33, 36}
= {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
A
A
A
B
A
A
B
∪ B = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}
∩ B = {3, 6, 9, 12, 15, 18, 21, 24, 30, 33, 36}
− B = {}
− A = {27}
△B = {27}
= {27}c
= {}c
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {4, 8, 12, 14, 16, 18, 20, 22, 24}
= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
A
A
B
A
A
B
∪ B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
∩ B = {4, 8, 12, 14, 16, 18, 20, 22, 24}
− B = {}
− A = {2, 6, 10}
△B = {2, 6, 10}
= {2, 6, 10}c
= {}c
64). Dado el conjunto universal:
y los subconjuntos:
Hallar:
65). Dado el conjunto universal:
y los subconjuntos:
Hallar:
66). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
= {16, 24, 40, 56, 72, 88}
A
A
A
B
A
A
B
∪ B = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
∩ B = {24, 40, 56, 72, 88}
− B = {8, 32, 48, 64, 80, 96}
− A = {16}
△B = {8, 16, 32, 48, 64, 80, 96}
= {16}c
= {8, 32, 48, 64, 80, 96}c
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {10, 25, 30, 40, 45, 50, 55, 60}
= {10, 15, 25, 30, 35, 40, 45, 55}
A
A
A
B
A
A
B
∪ B = {10, 15, 25, 30, 35, 40, 45, 50, 55, 60}
∩ B = {10, 25, 30, 40, 45, 55}
− B = {50, 60}
− A = {15, 35}
△B = {15, 35, 50, 60}
= {5, 15, 20, 35}c
= {5, 20, 50, 60}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
= {7, 49, 56, 63, 84}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
∩ B = {7, 49, 56, 63, 84}
− B = {14, 21, 28, 35, 42, 70, 77}
− A = {}
△B = {14, 21, 28, 35, 42, 70, 77}
= {}c
= {14, 21, 28, 35, 42, 70, 77}c
67). Dado el conjunto universal:
y los subconjuntos:
Hallar:
68). Dado el conjunto universal:
y los subconjuntos:
Hallar:
69). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {5, 15, 20, 25, 30, 35, 40,45, 50, 55, 60}
= {5, 15, 25, 35, 40, 50}
A
A
A
B
A
A
B
∪ B = {5, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
∩ B = {5, 15, 25, 35, 40, 50}
− B = {20, 30, 45, 55, 60}
− A = {}
△B = {20, 30, 45, 55, 60}
= {10}c
= {10, 20, 30, 45, 55, 60}c
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h, i, j,k, l}
= {a, d, e, f , g, i,k}
A
A
A
B
A
A
B
∪ B = {a, b, c, d, e, f , g,h, i, j,k, l}
∩ B = {a, d, e, f , g, i,k}
− B = {b, c,h, j, l}
− A = {}
△B = {b, c,h, j, l}
= {}c
= {b, c,h, j, l}c
U = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120}
A
B
= {12, 36, 72, 84, 96, 108}
= {12, 24, 48, 84, 108}
A
A
A
B
A
A
B
∪ B = {12, 24, 36, 48, 72, 84, 96, 108}
∩ B = {12, 84, 108}
− B = {36, 72, 96}
− A = {24, 48}
△B = {24, 36, 48, 72, 96}
= {24, 48, 60, 120}c
= {36, 60, 72, 96, 120}c
70). Dado el conjunto universal:
y los subconjuntos:
Hallar:
71). Dado el conjunto universal:
y los subconjuntos:
Hallar:
72). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {5, 7, 13, 23, 29, 37}
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
A
A
B
A
A
B
∪ B = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
∩ B = {5, 7, 13, 23, 29, 37}
− B = {}
− A = {2, 3, 11, 17, 19, 31}
△B = {2, 3, 11, 17, 19, 31}
= {2, 3, 11, 17, 19, 31}c
= {}c
U = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84}
A
B
= {7, 14, 21, 42, 49, 56, 63}
= {7, 14, 21, 28, 35, 42, 49, 70, 84}
A
A
A
B
A
A
B
∪ B = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 84}
∩ B = {7, 14, 21, 42, 49}
− B = {56, 63}
− A = {28, 35, 70, 84}
△B = {28, 35, 56, 63, 70, 84}
= {28, 35, 70, 77, 84}c
= {56, 63, 77}c
U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60}
A
B
= {10, 15, 35, 45, 55}
= {5, 10, 25, 30, 35, 40, 45, 50, 60}
A
A
A
B
A
A
B
∪ B = {5, 10, 15, 25, 30, 35, 40, 45, 50, 55, 60}
∩ B = {10, 35, 45}
− B = {15, 55}
− A = {5, 25, 30, 40, 50, 60}
△B = {5, 15, 25, 30, 40, 50, 55, 60}
= {5, 20, 25, 30, 40, 50, 60}c
= {15, 20, 55}c
73). Dado el conjunto universal:
y los subconjuntos:
Hallar:
74). Dado el conjunto universal:
y los subconjuntos:
Hallar:
75). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37}
= {3, 11, 23, 29, 37}
A
A
A
B
A
A
B
∪ B = {2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37}
∩ B = {3, 11, 23, 29, 37}
− B = {2, 5, 7, 13, 19, 31}
− A = {}
△B = {2, 5, 7, 13, 19, 31}
= {17}c
= {2, 5, 7, 13, 17, 19, 31}c
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {3, 5, 7, 13, 37}
= {3, 5, 7, 17, 37}
A
A
A
B
A
A
B
∪ B = {3, 5, 7, 13, 17, 37}
∩ B = {3, 5, 7, 37}
− B = {13}
− A = {17}
△B = {13, 17}
= {2, 11, 17, 19, 23, 29, 31}c
= {2, 11, 13, 19, 23, 29, 31}c
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 27, 45, 54, 90}
= {54, 63, 72, 81, 90}
A
A
A
B
A
A
B
∪ B = {9, 27, 45, 54, 63, 72, 81, 90}
∩ B = {54, 90}
− B = {9, 27, 45}
− A = {63, 72, 81}
△B = {9, 27, 45, 63, 72, 81}
= {18, 36, 63, 72, 81}c
= {9, 18, 27, 36, 45}c
76). Dado el conjunto universal:
y los subconjuntos:
Hallar:
77). Dado el conjunto universal:
y los subconjuntos:
Hallar:
78). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {m,n, o, p, q, r, s, t,u, v,w,x}
A
B
= {m, o, q, r, s, t, v,x}
= {m,n, o, q, s, t, v,w,x}
A
A
A
B
A
A
B
∪ B = {m,n, o, q, r, s, t, v,w,x}
∩ B = {m, o, q, s, t, v,x}
− B = {r}
− A = {n,w}
△B = {n, r,w}
= {n, p,u,w}c
= {p, r,u}c
U = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72}
A
B
= {12, 18, 24, 30, 36, 42, 54, 66, 72}
= {6, 12, 18, 24, 42, 48, 66}
A
A
A
B
A
A
B
∪ B = {6, 12, 18, 24, 30, 36, 42, 48, 54, 66, 72}
∩ B = {12, 18, 24, 42, 66}
− B = {30, 36, 54, 72}
− A = {6, 48}
△B = {6, 30, 36, 48, 54, 72}
= {6, 48, 60}c
= {30, 36, 54, 60, 72}c
U = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
A
B
= {2, 4, 6, 8, 10, 12, 14, 20, 22, 24}
= {2, 4, 6, 12, 16, 18, 20, 22}
A
A
A
B
A
A
B
∪ B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
∩ B = {2, 4, 6, 12, 20, 22}
− B = {8, 10, 14, 24}
− A = {16, 18}
△B = {8, 10, 14, 16, 18, 24}
= {16, 18}c
= {8, 10, 14, 24}c
79). Dado el conjunto universal:
y los subconjuntos:
Hallar:
80). Dado el conjunto universal:
y los subconjuntos:
Hallar:
81). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
= {8, 24, 32, 40, 48, 56, 64, 72, 80, 88}
A
A
A
B
A
A
B
∪ B = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
∩ B = {8, 24, 32, 40, 48, 56, 64, 72, 80, 88}
− B = {16, 96}
− A = {}
△B = {16, 96}
= {}c
= {16, 96}c
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {11, 33, 55, 66, 77, 88, 99, 110}
= {22, 33, 44, 55, 66, 77, 88, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
∩ B = {33, 55, 66, 77, 88, 110}
− B = {11, 99}
− A = {22, 44}
△B = {11, 22, 44, 99}
= {22, 44}c
= {11, 99}c
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {c, f ,h, j,k, l}
= {b, d, e, g,h}
A
A
A
B
A
A
B
∪ B = {b, c, d, e, f , g,h, j,k, l}
∩ B = {h}
− B = {c, f , j,k, l}
− A = {b, d, e, g}
△B = {b, c, d, e, f , g, j,k, l}
= {a, b, d, e, g, i}c
= {a, c, f , i, j,k, l}c
82). Dado el conjunto universal:
y los subconjuntos:
Hallar:
83). Dado el conjunto universal:
y los subconjuntos:
Hallar:
84). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {12, 16, 20, 24, 32, 36, 44, 48}
= {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
A
A
B
A
A
B
∪ B = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
∩ B = {12, 16, 20, 24, 32, 36, 44, 48}
− B = {}
− A = {4, 8, 28, 40}
△B = {4, 8, 28, 40}
= {4, 8, 28, 40}c
= {}c
U = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
A
B
= {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
= {3, 7, 11, 13, 19, 23, 29, 31, 37}
A
A
A
B
A
A
B
∪ B = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}
∩ B = {3, 7, 11, 13, 19, 23, 29, 31, 37}
− B = {2, 5, 17}
− A = {}
△B = {2, 5, 17}
= {}c
= {2, 5, 17}c
U = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
B
= {9, 27, 45, 54, 63, 72, 81, 90}
= {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
A
A
A
B
A
A
B
∪ B = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90}
∩ B = {9, 27, 45, 54, 63, 72, 81, 90}
− B = {}
− A = {18, 36}
△B = {18, 36}
= {18, 36}c
= {}c
85). Dado el conjunto universal:
y los subconjuntos:
Hallar:
86). Dado el conjunto universal:
y los subconjuntos:
Hallar:
87). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}
A
B
= {8, 16, 24, 32, 40, 48, 72, 88, 96}
= {8, 16, 32, 40, 64, 96}
A
A
A
B
A
A
B
∪ B = {8, 16, 24, 32, 40, 48, 64, 72, 88, 96}
∩ B = {8, 16, 32, 40, 96}
− B = {24, 48, 72, 88}
− A = {64}
△B = {24, 48, 64, 72, 88}
= {56, 64, 80}c
= {24, 48, 56, 72, 80, 88}c
U = {a, b, c, d, e, f , g,h, i, j,k, l}
A
B
= {a, b, c, d, e, f , g,h, i, j,k, l}
= {a, b, c, e, f , g, i, j,k, l}
A
A
A
B
A
A
B
∪ B = {a, b, c, d, e, f , g,h, i, j,k, l}
∩ B = {a, b, c, e, f , g, i, j,k, l}
− B = {d,h}
− A = {}
△B = {d,h}
= {}c
= {d,h}c
U = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48}
A
B
= {4, 8, 12, 16, 24}
= {4, 12, 16, 20, 24, 36, 44, 48}
A
A
A
B
A
A
B
∪ B = {4, 8, 12, 16, 20, 24, 36, 44, 48}
∩ B = {4, 12, 16, 24}
− B = {8}
− A = {20, 36, 44, 48}
△B = {8, 20, 36, 44, 48}
= {20, 28, 32, 36, 40, 44, 48}c
= {8, 28, 32, 40}c
88). Dado el conjunto universal:
y los subconjuntos:
Hallar:
89). Dado el conjunto universal:
y los subconjuntos:
Hallar:
90). Dado el conjunto universal:
y los subconjuntos:
Hallar:
U = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
A
B
= {22, 44, 55, 66, 77, 88, 110}
= {11, 22, 44, 55, 66, 88, 110}
A
A
A
B
A
A
B
∪ B = {11, 22, 44, 55, 66, 77, 88, 110}
∩ B = {22, 44, 55, 66, 88, 110}
− B = {77}
− A =