Question

Verify that : -(-x) = x for. (i) x = 11/15 (ii) x = -13/17

Answer 1

(i) Given, -(-x) = -(-11/15)

               x = 11/15


(ii) Given, -(-x) = -(-(-13/17)          (-(-(-) = -(+) = -

                  x = -13/17

Answer 2

SOLUTION

(i) x = 11/15 The additive inverse of x = 11/15 is -x = -11/15 as 11/15 + (-11/15) = 0 The same equality 11/15 + (-11/15) = 0 , shows that the additive inverse of -11/15 is 11/15 or -(-11/15) = 11/15 i.e. -(-x) = x
(ii) x = -13/17 The additive inverse of x = -13/17 is -x = 13/17 as (-13/17) + 13/17 = 0 The same equality 13/17 + (-13/17) = 0 , shows that the additive inverse of 13/17 is -13/17 or -(13/17) = -13/17 i.e. -(-x) = x