# How do you solve and write the following in interval notation: |3x+4|≥2 ?

Jun 4, 2016

$x \in \left[- 2 , - \frac{2}{3}\right]$.

#### Explanation:

The inequality is the combined inequality for the pair

$\pm \left(3 x + 4\right) \ge 2$

Separately, these simplify to

$x \ge - \frac{2}{3} \mathmr{and} x \le - 2$.Combining both

.$x \in \left[- 2 , - \frac{2}{3}\right]$