Question

which number line shows the solution to the inequality?
-4x + 8 ≤ 20

Explanation:

Step1: Isolate the variable - term

Subtract 8 from both sides of the inequality $-4x + 8\leq20$.
$-4x+8 - 8\leq20 - 8$
$-4x\leq12$

Step2: Solve for x

Divide both sides of the inequality by - 4. When dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-4x}{-4}\geq\frac{12}{-4}$
$x\geq - 3$

The solution set includes all real - numbers greater than or equal to - 3. On a number line, this is represented by a closed circle at - 3 and an arrow pointing to the right.

Answer:

The number line with a closed circle at - 3 and an arrow pointing to the right shows the solution to the inequality.