# How do you solve and write the following in interval notation: |3n + 5|< 4 ?

Jun 2, 2017

$- 3 < n < - \frac{1}{3}$

#### Explanation:

$| 3 n + 5 | < 4$

This suggests that $- 4 < 3 n + 5 < 4$

Subtract $5$ from both sides and divide by $3$

$- 9 < 3 n < - 1$

$- 3 < n < - \frac{1}{3}$