Answer
$p\leq5$
Work Step by Step
$6-3p\geq-9$ $\longrightarrow$ subtract 6 from both sides
$6-3p-6\geq-9-6$ $\longrightarrow$ simplify
$-3p\geq-15$ $\longrightarrow$ divide both sides by -3; reverse the inequality sign
$-3p\div-3\leq-15\div-3$ $\longrightarrow$ simplify
$p\leq5$
Check the endpoint.
$6-3(5)=-9$
$6-15=-9$
$-9=-9\checkmark$
Check the inequality.
$6-3(0)\geq-9$
$6-0\geq-9$
$6\geq-9\checkmark$
