Q. 94.3( 3 Votes )

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.

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)}


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