# How do you solve -6 < 3x + 2 < 11?

Apr 24, 2018

$- \frac{8}{3} < x < 3$

#### Explanation:

Inequalities act just as equations do, for the most part. I'll show you what I mean:

$- 6 < 3 x + 2 < 11$
Is the same as
$- 8 < 3 x < 9$

See what I did? I just subtracted 2 from both sides. We can then do the same with dividing by 3 to obtain:

$- \frac{8}{3} < x < 3$