Question

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

Answer: (C)

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

Answer 2

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 = {(3, 3); (3, 5); (5, 3); (5, 5)}