A relation R is defined form {2, 3, 4, 5} to {3, 6, 7, 10} by xRy ⬄ x is relatively prime to y. Then, domain of R is

Question

Philoid · Accepted Answer

R: x R y⟺ x is relatively prime to y.

Two numbers are relatively prime if their Highest Common Factor is 1.

Then, R= {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 6), (5, 7)}

Therefore, the domain of R is {2, 3, 4, 5}