Question

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

Explanation:

Step1: Isolate the term with x

Subtract 8 from both sides of -4x + 8 ≤ 20.
-4x + 8-8 ≤ 20 - 8, which simplifies to -4x ≤ 12.

Step2: Solve for x

Divide both sides of -4x ≤ 12 by -4. When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have x ≥ - 3.

Answer:

The number - line that has a closed - circle at - 3 and the line extending to the right of - 3 (the fourth number - line in the order presented in the image) shows the solution to the inequality.