Question

solve the inequality. graph the solution set. 3 ≤ 3x - 12 ≤ 9. choose the correct graph below.

Explanation:

Step1: Solve the inequality

Add 12 to both sides of $3x - 12\leq9$. We get $3x\leq9 + 12$, so $3x\leq21$. Then divide both sides by 3, $x\leq7$.

Step2: Analyze the graph

A closed - circle is used for $\leq$ or $\geq$ and an open - circle for $<$ or $>$. The solution $x\leq7$ means a closed - circle at 7 and the line going to the left.

Answer:

The correct graph is the one with a closed - circle at 7 and the line extending to the left. Without seeing the exact labels of the graphs clearly, if we assume the options are based on the described criteria, we look for the graph with a closed - circle at 7 and shading to the left.