Question

solve the absolute value inequality
|x + 6| ≤ 8

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the solution set in interval notation is
(simplify your answer.)

b. the solution set is ∅.

Explanation:

Step1: Rewrite absolute value inequality

$-8 \leq x + 6 \leq 8$

Step2: Subtract 6 from all parts

$-8 - 6 \leq x \leq 8 - 6$

Step3: Simplify the inequalities

$-14 \leq x \leq 2$

Step4: Convert to interval notation

$[-14, 2]$

Answer:

A. The solution set in interval notation is $[-14, 2]$