Answer
$-3 \lt x \lt 0$
Work Step by Step
Having parentheses on both ends (left and right) mean that the numbers -3 and 0 are not included in the set.
Thus, the equivalent inequality of the given interval is:
$-3 \lt x \lt 0$
To graph the interval on a number line, plot holes (or hollow dots) at $-3$ and $0$, then shade the region between them.
(refer to the attached image in the answer part above)