# Solve |2x+8| > 10 ?

Jul 13, 2016

$x > 1 \mathmr{and} x < - 9$

#### Explanation:

$| 2 x + 8 | > 10$

The absolute value means that two limiting values of $x$ will satisfy this inequality.

Solution 1:
$2 x + 8 > 10$
$2 x > 10 - 8$
$2 x > 2 \to x > 1$

Solution 2: (Reverse the inequality and change sign)
$- \left(2 x + 8\right) < 10$
$- 2 x - 8 < 10$
$- 2 x < 18 \to x < - 9$