## Algebra 1

$\{k\ |\ k\lt-13\}$
Solve the inequality. $3(2k+12)\lt-42\longrightarrow$ multiply using the distributive property $6k+36\lt-42\longrightarrow$ subtract 36 from each side $6k+36-36\lt-42-36\longrightarrow$ subtract $6k\lt-78\longrightarrow$ divide each side by 6 $6k\div6\lt-78\div6\longrightarrow$ divide $k\lt-13$ The solution is written in the criteria area of the set-builder notation.