Answer
$(-\infty,\infty)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$x\lt2$ or $x\geq-1$.
First graph then take the union 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 union is
$(-\infty,2)\cup[-1,\infty)=(-\infty,\infty)$.