$x\lt-5$ or $x\gt1.5$.
Work Step by Step
$2+3x\lt-13\\3x\lt-15\\x\lt-5$ or $4+2x\gt7\\2x\gt3\\x\gt1.5$ Thus $x\lt-5$ or $x\gt1.5$. Then, by using a graphing utility, the solution set is attached.
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