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0 votes
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in Linear Equations by (15.2k points)

Solve –4x > 16, when x ϵ Z.

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1 Answer

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by (15.7k points)

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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