# How do you solve and write the following in interval notation: -4x-3<21?

##### 1 Answer
May 27, 2018

$\left(- 6 , \infty\right)$

#### Explanation:

$\text{isolate "-4x" by adding 3 to both sides}$

$- 4 x < 24$

$\text{divide both sides by } - 4$

$\textcolor{b l u e}{\text{reversing the sign as a consequence}}$

$x > - 6 \text{ is the solution}$

$x \in \left(- 6 , \infty\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$

$\text{the curved bracket indicates that x cannot equal the}$
$\text{values shown in the bracket but can equal all values}$
$\text{between them}$