Q. 75.0( 2 Votes )
Solve –4x > 16, when x ϵ Z.
Answer :
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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