question_answer

The relation R defined on the set A = {1, 2, 3, 4, 5} by \[R=\{\left( x,\text{ }y \right):|{{x}^{2}}-{{y}^{2}}|\,<16\}\] 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), (3, 4), (5, 4), (4, 3), (3, 1)}

D)  {(1, 1), (2, 2), (3, 4), (5, 1), (5, 2)}

E)  None of these