Write the following relations as the sets of ordered pairs: A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y.

Question

Philoid · Accepted Answer

Let A = {2, 3, 4, 5, 6} and B = {1, 2, 3}

Given, x = 2y where x {2, 3, 4, 5, 6} and y {1, 2, 3}

On putting y = 1, x = 2(1) = 2 A

On putting y = 2, x = 2(2) = 4 A

On putting y = 3, x = 2(3) = 6 A

∴ R = {(2, 1), (4, 2), (6, 3)}