## Algebra 1

$k\geq1$
$3(k-5)+9k\geq-3$ $\longrightarrow$ multiply using the distributive property $3k-15+9k\geq-3$ $\longrightarrow$ combine like terms; add 15 to both sides $12k-15+15\geq-3+15$ $\longrightarrow$ simplify $12k\geq12$ $\longrightarrow$ divide both sides by 12 $12k\div12\geq12\div12$ $\longrightarrow$ simplify $k\geq1$ Check endpoint. $3(1-5)+9(1)=-3$ $3(-4)+9=-3$ $-12+9=-3$ $-3=-3\checkmark$ Check inequality. $3(5-5)+9(5)\geq-3$ $3(0)+45\geq-3$ $0+45\geq-3$ $45\geq-3\checkmark$