# How do you solve |2x + -6| ≤ 16?

Oct 17, 2016

$- 5 \le x \le 11$

#### Explanation:

∣2x-6∣<=16 then
$2 x - 6 \le 16$ and $- \left(2 x - 6\right) \le 16$
So
$2 x \le 22$ and $- 2 x + 6 \le 16$
$x \le 11$ and $2 x \ge - 10$
the answer is $x \le 11$ and $x \ge - 5$
$- 5 \le x \le 11$