Answer
$k\geq1$
Work Step by Step
$3(k-5)+9k\geq-3$ $\longrightarrow$ 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.
$3(5-5)+9(5)\geq-3$
$3(0)+45\geq-3$
$0+45\geq-3$
$45\geq-3\checkmark$
