#### Answer

$j\lt-1$

#### Work Step by Step

$-3(j+3)+9j\lt-15$ $\longrightarrow$ 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.
$-3(-2+3)+9(-2)\lt-15$
$-3(1)-18\lt-15$
$-3-18\lt-15$
$-21\lt-15\checkmark$