Answer
$$x<4 \text { or } x>12$$
Refer to the graph below.
Work Step by Step
Solve each inequality:
\begin{align*}
4x &\lt 16\\\\
\frac{4x}{4} &\lt \frac{16}{4}\\\\
x &\lt 4
\end{align*}
$$\text{or}$$
\begin{align*}
12x&\gt 144\\\\
\frac{12x}{12} &\gt \frac{144}{12}\\\\
x&\gt 12
\end{align*}
Graph each inequality to obtain the one in the attached image above.
Since the compound inequality involves the conjunction $\text{OR}$, then the solutions to the inequality are the combined numbers of the two graphs.
