Answer
$\{k\ |\ k\lt-13\}$
Work Step by Step
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.
