# How do you solve the inequality abs(1/4x+2)<=3?

Jun 1, 2017

$- 20 \le x \le 4$

#### Explanation:

Use the rule that:

if $| a | \le b$, then $- b \le a \le b$

Therefore:

$| \frac{1}{4} x + 2 | \le 3$

$- 3 \le \frac{1}{4} x + 2 \le 3$

$- 5 \le \frac{1}{4} x \le 1$

$- 20 \le x \le 4$