Question

solve the inequality. then graph the solution set and write it in interval notation. |2x + 2| ≤ 10 this question: 1 point(s) possible choose the correct graph below.

Explanation:

Step1: Rewrite absolute value inequality

$-10 \leq 2x + 2 \leq 10$

Step2: Subtract 2 from all parts

$-10 - 2 \leq 2x \leq 10 - 2$
$-12 \leq 2x \leq 8$

Step3: Divide all parts by 2

$\frac{-12}{2} \leq x \leq \frac{8}{2}$
$-6 \leq x \leq 4$

Step4: Write in interval notation

$[-6, 4]$

Step5: Match to graph

The graph will have closed circles at $x=-6$ and $x=4$, with a line connecting them (option C, the top middle graph with square brackets at the endpoints).

Answer:

The solution set in interval notation is $[-6, 4]$, and the correct graph is option C (the graph with closed endpoints at -6 and 4, spanning the interval between them).