# How do you solve abs(6-2x)> -8?

Apr 28, 2017

$6 - 2 x \succ 8$
OR
$6 - 2 x < 8$

$- 2 x \succ 14$
$x < 7$

$- 2 x < 2$
$x > 1$

Apr 28, 2017

$x \in \mathbb{R}$

#### Explanation:

The absolute value only outputs positive numbers. In other words, $| 6 - 2 x | \ge 0 > - 8$. Thus, all values of $x$ would work.