Solve this

Solve $-4 x>16$, when $x \in Z$


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

$-4 x>16$


$\Rightarrow x<-4$

The integers less than $-4$ are $-5,-6,-7,-8, \ldots$

Generalizing the solution in terms of n

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

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



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