Answer
$y\leq-2$ or $y\geq5$
Work Step by Step
$5y+7\leq-3\longrightarrow$ subtract 7 from each side
$5y+7-7\leq-3-7\longrightarrow$ subtract
$5y\leq-10\longrightarrow$ divide each side by 5
$5y\div5\leq-10\div5\longrightarrow$ divide
$y\leq-2$
or
$3y-2\geq13\longrightarrow$ add 2 to each side
$3y-2+2\geq13+2\longrightarrow$ add
$3y\geq15\longrightarrow$ divide each side by 3
$3y\div3\geq15\div3\longrightarrow$ divide
$y\geq5$
Since -2 and 5 are included in the solution sets, the endpoints on the graph are solid circles.
