Answer
$[-1,2)$.
The line graph is shown below.
Work Step by Step
The given compound inequality is
$x\lt2$ 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.
$x\lt2$ as $(-\infty,2)$ and $x\geq-1$ as $[-1,\infty)$
The intersection is
$(-\infty,2)\cap[-1,\infty)=[-1,2)$.
