Question

absolute value inequalities (level 1)
score: 2/3 penalty: none
question
solve the following inequality algebraically.
|x - 3| ≤ 12

Explanation:

Step1: Rewrite absolute value inequality

$-12 \leq x - 3 \leq 12$

Step2: Add 3 to all parts

$-12 + 3 \leq x - 3 + 3 \leq 12 + 3$

Step3: Simplify all expressions

$-9 \leq x \leq 15$

Answer:

$-9 \leq x \leq 15$