Question

Dados os conjuntos A = { 2, 3 e 4} e B= { 3,4,5 e 6}, seja f a relação binaria de A em B, tal que f = { (x , y ) pertence a A x B tal que X divide Y }, então:
a) F = (2,2), (3,3) e (4,4)
b) F = (3,3) e (4,4)
c) F = { } = vazio
d) F = (2,4), (2,6), (3,3), (3,6) e (4,4)

Answer 1

A × B = {(x, y) | x ∈ A   e   y ∈ B}

A × B = {(2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6)}

F = {(x, y) ∈ A × B | x é divisor de y}

F = {(2, 4), (2, 6), (3, 3), (3, 6), (4, 4)}