## Algebra 1

$p\leq5$
$6-3p\geq-9$ $\longrightarrow$ 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. $6-3(0)\geq-9$ $6-0\geq-9$ $6\geq-9\checkmark$