Conjuntos

1. Dado el conjunto A= {2, 4, 6, 8, 10}. Construir P(A)
P(A)= { }, {2}, {4}, {6}, {8}, {10}, {2, 2}, {2, 4},{2, 6}, {2, 8}, {2, 10}, {4, 2}, {4, 4}, {4, 6}, {4, 8}, {4, 10}, {6, 2}, {6, 4}, {6, 6}, {6, 8}, {6, 10}, {8,2}, {8, 4}, {8, 6}, {8, 8}, {8, 10}, {10, 2}, {10, 4}, {10, 6}, {10, 8} {10, 10}, {2, 4, 6, 8, 10}.
3. Sean losconjuntos A, B y C definidos como: A={1, 2, 3}, B={a, b} C={ , }
1]. A x A= {(1, 1), (1, 2), (1, 3), (2, 1),(2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}
2]. B x B= {(a, a), (a, b), (b, a), (b, b)}
3]. A x B= {(1, a), (1, b),(2, a), (2, b)}
4]. A x B x C= {(1, a, ), (1, b, ), (2, a, ), (2, b, )}

4. Dados los conjuntossiguientes X= {1, 2}, Y= {a, b}, Z= {h, i, j). Escribir los conjuntos que se piden.
1]. X x Y= {(1, a), (1, b), (2, a),(2, b)}
2]. X x X= {(1, 1), (1, 2), (2, 1), (2, 2)}
3]. X x X x Z= {(1, 1, h), (1, 1, i), (1, 1, j), (1, 2,h), (1, 2, i), (1, 2, j), (2, 1, h), (2, 1, i), (2, 1, j), (2, 2, h), (2, 2, i), (2,2, j)}
5. Sea X= {1, 2, 3} y R= {(x ,y) x>y}
Construir R
Dar el dominio de R
Dar el contra dominio de R