# How do you solve and write the following in interval notation: -3<x-3<0?

Mar 8, 2018

$\left(0 , 3\right)$

#### Explanation:

$\text{isolate x in the middle interval by adding 3 to all three}$
$\text{intervals}$

$- 3 \textcolor{red}{+ 3} < x \cancel{- 3} \cancel{\textcolor{red}{+ 3}} < 0 \textcolor{red}{+ 3}$

$\Rightarrow 0 < x < 3 \text{ is the solution}$

$x \in \left(0 , 3\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$