Question

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₂ = {(1, 5), (2, 4), (3, 6)}

Answer 1

A = {1, 2, 3}, B = {4, 5, 6}
∴ A × B = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)}
R₂ = {(1, 5), (2, 4), (3, 6)}
Since R₂ ⊆ A × B
∴ R₂ is a relation from A to B.