$(-1, 4]$ 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 $(-1, 4]$.
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