Answer
$y\leq-2\frac{3}{7}$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/72df0628-15fb-4a04-a6e2-1c8aaf7cc59a/result_image/1501837189.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013835Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=cbf71b7347b8da54414ac3f01b150f288f07becd0ac79664045a8aa5dde1a483)
Work Step by Step
$-7y\geq17\longrightarrow$ divide both sides by -7; reverse the inequality sign
$-7y\div-7\leq17\div-7\longrightarrow$ divide
$y\leq -2\frac{3}{7}$
Check the endpoint.
$-7(-2\frac{3}{7})\overset?=17$
$17=17\checkmark$
Check the inequality.
$-7(-3)\overset?\geq17$
$21\geq17\checkmark$
Since $-2\frac{3}{7}$ is included in the solution, the endpoint of the graph is a solid circle.