Question

on the number line below.
$-4x \leq -8$

Explanation:

Step1: Divide both sides by -4

Note: When dividing an inequality by a negative number, reverse the inequality sign.
$\frac{-4x}{-4} \geq \frac{-8}{-4}$

Step2: Simplify both sides

$x \geq 2$

To graph this on a number line:

1. Draw a closed (filled-in) circle at 2 (since the inequality includes equality, $x$ can equal 2).
2. Draw a ray extending to the right from 2 (to represent all numbers greater than 2).

Answer:

The solution to the inequality is $x \geq 2$. For the number line graph: closed circle at 2, shaded to the right.