Question

Let the relation R be defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b) : |a² $-$ b²| < 8}. Write R as a set of ordered pairs.

Answer 1

As, R = {(a, b) : |a² $-$ b²| < 8}
So, R = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3), (3, 4), (4, 3), (4, 4), (5, 5)}