#### Answer

$w\geq-5$

#### Work Step by Step

$-4w\leq20\longrightarrow$ divide both sides by -4; reverse the inequality sign
$-4w\div-4\geq20\div-4\longrightarrow$ divide
$w\geq -5$
Check the endpoint.
$-4(-5)\overset?=20$
$20=20\checkmark$
Check the inequality.
$-4(1)\overset?\leq20$
$-4\leq20\checkmark$
Since -5 is included in the solution, the endpoint of the graph is a solid circle.