Question

If R be a relation $<$ from A={1,2,3,4} to B={1,3,5} i.e., (a,b) $\in R\iff a<b,thenRo{R}^{-1}$ is

• A. {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
• B. {(3, 1) (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
• C. {(3, 3), (3, 5), (5, 3), (5, 5)}
• D. {(3, 3) (3, 4), (4, 5)}

Answer 1

The correct option is C

{(3, 3), (3, 5), (5, 3), (5, 5)}

We have, $R$={(1,3);(1,5);(2,3);(2,5);(3,5);(4,5)}
$R^{-1}$ = {(3,1);(5,1);(3,2);(5,2);(5,3);(5,4)}
Hence $Ro{R}^{-1}$ = {(3,3);(3,5);(5,3);(5,5)}