Answer
$\left( -\infty,-4 \right)\cup\left( -2,\infty \right)$
Work Step by Step
Solving the inequalities separately results to
\begin{array}{l}
x+4<0\\
x-12\\
x>-2
.\end{array}
Using the conjuntion "or", the solution set is the combined solutions sets of both inequalities. Hence, the solution set is $
\left( -\infty,-4 \right)\cup\left( -2,\infty \right)
$.