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.
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)}