Question

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3. Then, $R^{-1}$ is

• A. {(8, 11), (10, 13)}
• B. {(11, 8), (13, 10)}
• C. {(10, 13), (8, 11), (12, 10)}
• D. None of these

Answer 1

The correct option is A

{(8, 11), (10, 13)}

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3

Now, we have :

11- 3 = 8

13 - 3 = 10

So, R = {(13, 10), (11, 18)}

$\therefore R^{-1}=$ {(10, 13), (8, 11)}