Let the relation R be defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b) : |a 2 – b 2 |

Question

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

Philoid · Accepted Answer

Given a set A = {1, 2, 3, 4, 5} and relation R = {(a, b) : |a² – b²| < 8}

Now according to the question |a² – b²| < 8

⇒ R = {(1,1),(2,2), (3,3), (4,4), (5,5), (1,2), (2,1), (2,3), (3,2), (3,4), (4,3),}