$ -3\lt x \lt -2$. See the figure below.
Work Step by Step
The given interval uses parentheses on both ends so its equivalent inequality notation would involve $\lt$ on both ends. Thus, the given interval can be written as $ -3\lt x \lt -2$. To graph, plot circles at $ x=-3$ and $x=-2$, then shade the region in between. See the figure below.