Question

solve the inequality, then identify the graph of the solution.
-3x - 3 ≤ 6

Explanation:

Step1: Add 3 to both sides

$-3x - 3 + 3 \leq 6 + 3$
Simplifies to: $-3x \leq 9$

Step2: Divide by -3, reverse inequality

$\frac{-3x}{-3} \geq \frac{9}{-3}$
Simplifies to: $x \geq -3$

Step3: Match to number line

A closed dot at $-3$ (since inequality includes equality) and arrow pointing right (for values greater than or equal to $-3$), which corresponds to the first graph.

Answer:

The first graph (closed dot at -3, arrow pointing right along the number line) with the solution $x \geq -3$