#### Answer

$\left( -3,-2 \right)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the concepts of inequalities to translate the given description,
\begin{array}{l}\require{cancel}\text{
a number is between $-3$ and $-2$
},\end{array}
into symbols. Express the solution set in interval notation.
$\bf{\text{Solution Details:}}$
A number between $-3$ and $-2$ is less than $-2,$ but greater than $-3.$ In symbols, this is equivalent to
\begin{array}{l}\require{cancel}
-3\lt x \lt -2
.\end{array}
In interval notation, the solution set is $
\left( -3,-2 \right)
.$