Question

Let a relation R be defined by R = {(4, 5), (1, 4), (4, 6), (7,6), (3, 7)}. The relation $R^{-1}$ o R is given by

• A. {(1,1), (4, 4), (7, 4), (4, 7), (7, 7)}
• B. {(1, 1), (4, 4), (4, 7) (7, 4), (7, 7) (3, 3)}
• C. {(1, 5), (1, 6), (3, 6)}
• D. None of the above

Answer 1

The correct option is B {(1, 1), (4, 4), (4, 7) (7, 4), (7, 7) (3, 3)}

We have, R = {(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)}
$\therefore R^{-1}$ = {(5,4), (4,1), (6, 4), (6,7), (7,3)}
$\therefore R^{-1}$ oR = {(4,4), (1,1), (4,7), (7,4), (7,7), (3,3)}