# How do you solve and write the following in interval notation: | 6x - 5 |< 3?

May 30, 2016

$\frac{1}{3} < x < \frac{4}{3}$.
$| 6 x - 5 | < 3$ is the combined inequality to the pair
$6 x - 5 < 3 \mathmr{and} - \left(6 x - 5\right) < 3$.
Separately, these are $\frac{1}{3} < x < \frac{4}{3}$.