Question

Let A = {1, 2, 3, 7} and B = {3, 0, –1, 7}, the following is relation from A to B?

R₄ = {(7, –1), (0, 3), (3, 3), (0, 7)}

Answer 1

A = {1, 2, 3, 7} B = {3, 0, –1, 7}

A × B = {1, 2, 3} × {3, 0, –1, 7}

A × B = {(1, 3) (1, 0) (1, –1) (1, 7) (2, 3) (2, 0) (2, –1) (2, 7) (3, 3) (3, 0) (3, –1) (3, 7) (7, 3) (7, 0) (7, –1) (7, 7)}

R₄ = {(7, –1), (0, 3), (3, 3), (0, 7)}

It is not a relation, there is no element of (0, 3) and (0, 7) in A × B