Question

which number line represents the solution to the inequality below?
$3x + 6 \leq 15$
a.
b.
c.
d.

Explanation:

Step1: Isolate the variable term

Subtract 6 from both sides:
$3x + 6 - 6 \leq 15 - 6$
$3x \leq 9$

Step2: Solve for x

Divide both sides by 3:
$\frac{3x}{3} \leq \frac{9}{3}$
$x \leq 3$

Step3: Match to number line

A closed dot at 3 (since the inequality includes equality) and shading to the left (for values less than or equal to 3) matches option A.

Answer:

A. <The number line with a closed dot at 3 and shading to the left>