Question

graph the solution to the inequality on the number line.
$|2x - 8|\leq12$

Explanation:

Step1: Remove absolute value

$$-12\leq 2x - 8\leq 12$$

Step2: Add 8 to each part

$$-12 + 8\leq 2x-8 + 8\leq 12 + 8$$
$$-4\leq 2x\leq 20$$

Step3: Divide each part by 2

$$\frac{-4}{2}\leq\frac{2x}{2}\leq\frac{20}{2}$$
$$-2\leq x\leq 10$$

Answer:

On the number - line, draw a solid circle at \(x = - 2\) and \(x = 10\) (because the inequality includes equality, \(\leq\)) and shade the region between them.