Write the following relations as the sets of ordered pairs:
A relation R form a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by (x, y) R x divides y.
Given, (x, y) R x divides y
where x {5, 6, 7, 8} and y {10, 12, 15, 16, 18}
Here,
5 divides 10 and 15.
6 divides 12 and 18.
7 divides none of the value of set B.
8 divides 16.
∴ R = {(5, 10), (5, 15), (6, 12), (6, 18), (8, 16)}