## Algebra 1

$j\lt-1$
$-3(j+3)+9j\lt-15$ $\longrightarrow$ multiply using the distributive property $-3j-9+9j\lt-15$ $\longrightarrow$ combine like terms $6j-9\lt-15$ $\longrightarrow$ add 9 to both sides $6j-9+9\lt-15+9$ $\longrightarrow$ simplify $6j\lt-6$ $\longrightarrow$ divide both sides by 6 $6j\div6\lt-6\div6$ $\longrightarrow$ simplify $j\lt-1$ Check the inequality. $-3(-2+3)+9(-2)\lt-15$ $-3(1)-18\lt-15$ $-3-18\lt-15$ $-21\lt-15\checkmark$