Question

graph the solution to the inequality on the number line. |x + 7| ≤ 2

Explanation:

Step1: Remove absolute - value

$-2\leq x + 7\leq2$

Step2: Solve left - hand side

Subtract 7 from all parts: $-2-7\leq x+7 - 7$, so $-9\leq x$

Step3: Solve right - hand side

$x+7 - 7\leq2 - 7$, so $x\leq - 5$

Answer:

On the number line, shade the region between - 9 and - 5 (including - 9 and - 5, represented by closed circles at - 9 and - 5).