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solve the compound inequality. -10<2x - 2≤2 graph the solution on the n…

Question

solve the compound inequality.
-10<2x - 2≤2
graph the solution on the number line.

Explanation:

Step1: Add 2 to all parts

$-10 + 2<2x-2 + 2\leq2 + 2$
$-8<2x\leq4$

Step2: Divide all parts by 2

$\frac{-8}{2}<\frac{2x}{2}\leq\frac{4}{2}$
$-4

Answer:

The solution is $-4