Answer
See attached graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/d08b64f2-052a-4a80-a904-b0f531e4a119/result_image/1645824806.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000010Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=8129d01aeb7635660d4926304904ca3712be41a72314c8f92473ec94fceed637)
Work Step by Step
The graph depicts the inequality $y < -\frac{1}{4}x +2$. The line on the graph shows the linear equation $y = -\frac{1}{4}x +2$. As the inequality says that $y$ is less than -$\frac{1}{4}x +2$, all values that are less than -$\frac{1}{4}x +2$ are shaded in because each of these values makes the inequality $y < -\frac{1}{4}x +2$ true.