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).
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