Question
Solve: –12x > 30, when x is an integer.

Answer

It is given in the question that,
– 12x > 30
Dividing the inequality by -12 on both sides we get,
$x<\frac{-5}{2}$
When x is an integer
It can be clearly observed that the integer number less than$\frac{-5}{2}$are…, -5, -4, -3.
Thus, solution of –12x > 30 is …, -5, -4, -3, when x is an integer.
$\therefore$ solution set = {…, -5, -4, -3}

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