Answer
$x\geq-19$
Work Step by Step
$-2x+7\leq45\longrightarrow$ subtract 7 from each side
$-2x+7-7\leq45-7\longrightarrow$ subtract
$-2x\leq38\longrightarrow$ divide each side by -2; reverse the inequality sign
$-2x\div-2\geq38\div-2\longrightarrow$ divide
$x\geq-19$
Since -19 is included in the solution set, the endpoint of the graph is a solid circle.
