# Solve –4x > 16, when x ϵ Z.

We have to find integer values of x for which -4x > 16 (why only integer values because it is given that x Z that is set of integers)

-4x > 16

-x > 4

x < -4

The integers less than -4 are -5, -6, -7, -8, …

Generalizing the solution in terms of n

x = -(4 + n) where n is integers from 1 to infinity

Hence solution of -4x > 16 is x = -(4 + n) n = {1, 2, 3, 4…}

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