If A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵ B and x

Question

If A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵ B and x < y} is a relation from A to B, then write R –1 .

Philoid · Accepted Answer

Given A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵB and x < y}

According to the condition x < y

⇒ R= A × B

⇒ R={(2,3), (2,7), (3,7), (4,7)}

⇒ R^-1= B × A

⇒ R^-1={ (3,2), (7,2), (7,3), (7,4)}