# How do you solve and write the following in interval notation: -3 ≤ (x + 4) / 3 <-1?

Jun 27, 2018

$\left[- 13 , - 7\right)$

#### Explanation:

$\text{isolate "x+4" in the middle interval by multiplying all}$
$\text{intervals by 3}$

$- 9 \le x + 4 < - 3$

$\text{subtract 4 from each interval}$

$- 13 \le x < - 7 \text{ is the solution}$

$\left[- 13 , - 7\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$