Question

which number line shows the solution to the inequality?
-3x + 6 ≤ 15

Explanation:

Step1: Subtract 6 from both sides

$-3x + 6 - 6 \leq 15 - 6$
$-3x \leq 9$

Step2: Divide by -3, reverse inequality

$\frac{-3x}{-3} \geq \frac{9}{-3}$
$x \geq -3$

Step3: Match to number line

A closed dot at -3, arrow right.

Answer:

The third number line (closed dot at -3, red arrow extending to the right through 0, 1, 2, 3, 4, 5)