Answer
$y\leq-2\frac{3}{7}$
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.
