Question

solve for x and graph the solution on the number line below. 2 ≤ -2x - 2 ≤ 8 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Add 2 to all parts

Add 2 to each part of the compound - inequality $2\leq - 2x - 2\leq8$.
$2 + 2\leq-2x-2 + 2\leq8 + 2$
$4\leq-2x\leq10$

Step2: Divide by -2 and reverse inequality signs

When dividing an inequality by a negative number, the direction of the inequality signs changes.
$\frac{4}{-2}\geq\frac{-2x}{-2}\geq\frac{10}{-2}$
$-2\geq x\geq - 5$
In standard form, $-5\leq x\leq - 2$.

Answer:

Inequality Notation: $-5\leq x\leq - 2$
Number - Line: Mark closed circles at -5 and -2 on the number line and shade the region between them.