Answer
$(-1, 4]$
Refer to the attached image below for the graph.
Work Step by Step
Subtract 4 to each part to have:
$\\1-4 \lt 3x+4-4 \le 16-4
\\-3 \lt 3x \le 12$
Divide 3 to each part to have:
$\\-1 \lt x \le 4$
Thus, the solution is $(-1, 4]$.
