Question

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

Explanation:

Step1: Add 2 to all parts

$2 + 2\leq - 2x-2 + 2\leq8 + 2$
$4\leq - 2x\leq10$

Step2: Divide all parts by -2 and reverse inequality signs

$\frac{4}{-2}\geq\frac{-2x}{-2}\geq\frac{10}{-2}$
$- 5\leq x\leq - 2$

Answer:

Inequality Notation: $-5\leq x\leq - 2$
Number Line: Plot a solid - circle at $x=-5$ and $x = - 2$, and draw a line segment connecting them.