Answer
$[-1,3)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$x\lt3$ and $x\geq-1$.
First graph and then take the intersection of the two inequality.
The graph is shown in the image file.
We can write the compound inequality.
$x\lt3$ as $(-\infty,3)$ and $x\geq-1$ as $[-1,\infty)$
The intersection is
$(-\infty,3)\cap[-1,\infty)=[-1,3)$.