# How do you solve the inequality abs(7x) > -4?

Sep 10, 2015

$- \frac{4}{7} \prec x \prec \frac{4}{7}$

#### Explanation:

$| 7 x | \succ 4$ is equivalent to the following two inequalities:
$7 x \succ 4$ and $- 7 x \succ 4$.

Dividing out 7 and -7 gives us:
$x \succ \frac{4}{7}$ and $- \frac{4}{7} \succ x$.

Combining the two inequalities together gives:
$- \frac{4}{7} \prec x \prec \frac{4}{7}$