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Question: Let A = {1, 2, 3}, B = {1, 3, 5}. A relation \(R : A \rightarrow B\) is defined by R = {(1, 3), (1, ...

Let A = {1, 2, 3}, B = {1, 3, 5}. A relation R:A→BR : A \rightarrow B is defined by R = {(1, 3), (1, 5), (2, 1)}. Then R−1R ^ { - 1 } is defined by

A

{(1,2), (3,1), (1,3), (1,5)}

B

{(1, 2), (3, 1), (2, 1)}

C

{(1, 2), (5, 1), (3, 1)}

D

None of these

Answer

{(1, 2), (5, 1), (3, 1)}

Explanation

Solution

R−1={(3,1),(5,1),(1,2)}R ^ { - 1 } = \{ ( 3,1 ) , ( 5,1 ) , ( 1,2 ) \}.