Question

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

Explanation:

Step1: Add 3 to both sides

$-3x - 3+3\leq6 + 3$
$-3x\leq9$

Step2: Divide both sides by -3 and reverse the inequality sign

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

The graph of $x\geq - 3$ has a closed - circle at $x=-3$ (because the inequality includes equality) and the line extends to the right.

Answer:

The third option (the one with a closed - circle at $-3$ and the line extending to the right)