Solve the following inequation and represent the solution set on a number line
$- 8 \frac{1}{2} < - \frac{1}{2} - 4 x \leq 7 \frac{1}{2}, x \in 1$

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Solution

$- 8 \frac{1}{2} < \frac{- 1}{2} - 4 x \leq 7 \frac{1}{2}$
$\frac{- 17}{2} + \frac{1}{2} < - 4 x \leq \frac{15}{2} + \frac{1}{2}$
$- 8 < - 4 x \leq 8$
$8 > 4 x \geq - 8$
$2 > x \geq - 2$

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