Question

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(x,y)|x² - y²| <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)  None of these

Answer 1

Correct option  (D) None of these

Explanation :

Here R ={(x,y):|x² - y²| < 16}

and given A = {1,2,3,4,5}

 Therefore, R = {(1 ,2)(1,3)(1,4);(2 ,1)(2, 2)(2 ,3)(2, 4);(3, 1)(3,2) (3 ,3)(3,4);(4,1)(4, 2)(4 ,3);(4 ,4)(4, 5),(5,4)(5 ,5)}.