Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R–1.

Question

Philoid · Accepted Answer

Given A = {3, 5, 7}, B = {2, 6, 10} and R = {(x, y) : x and y are relatively prime }

According to the condition, x and y are prime numbers.

⇒ R= A × B

⇒ R= {(3,2), (5,2), (7,2)}

⇒ R^-1= B × A

⇒ R^-1= { (2,3), (2,5), (2,7)}

Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R^–1.