# How do you graph and solve | 9-4x | ≤ 15?

Jan 6, 2016

$- \frac{2}{3} \le x \le 6$.

#### Explanation:

|9-4x| is either 9-4x 0r 4x-9.

In the first case, $9 - 4 x \le 15$ . This gives $- 4 x \le 6$, which means $x \ge - \frac{3}{2}$.

In the second case $4 x - 9 \le 15$. This gives $x \le 6$.

Thus $- \frac{2}{3} \le x \le 6$.