Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e0263d3f-c7d0-4693-9695-ff95375fe450/result_image/1594471791.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000340Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3fed5de03ea6c4bffd111626643e5905085ecee588b91a7c839ea40663fe9740)
Work Step by Step
We are given $x \lt -1$
Graph the boundary line $x \lt -1$. Since the inequality symbol is $\lt$, the points on the boundary line are not solutions. Use a dashed line to indicate that the points are not included in the solution.
To determine which side of the boundary line to shade, test a point that is not on the line. For example, test the point $(0, 0)$.
$0 \lt -1$
Because the point $(0, 0)$ is a solution of the inequality, all the points on the same side of the boundary line as $(0, 0)$ are solutions. Shade the area to the left of the boundary line.