# The relation R defined on the

Question:

The relation R defined on the set A = {1, 2, 3, 4, 5} by

$R=\left\{(a, b):\left|a^{2}-b^{2}\right|<16\right\}$ is given by

(a) $\{(1,1),(2,1),(3,1),(4,1),(2,3)\}$

(b) $\{(2,2),(3,2),(4,2),(2,4)\}$

(c) $\{(3,3),(4,3),(5,4),(3,4)\}$

(d) none of these

Solution:

(d) none of these

R is given by {(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3), (4, 5), (5, 4), (1, 3), (3, 1), (1, 4), (4, 1) ,(2, 4), (4, 2)}, which is not mentioned in (a), (b) or (c).