$x\leq-0.5$ or $x\geq1$
Work Step by Step
$2x-3\leq-4\\2x\leq-1\\x\leq-0.5$ or $3x+1\geq4\\3x\geq3\\x\geq1$ Thus $x\leq-0.5$ or $x\geq1$. Then, by using a graphing utility, the solution set is attached.
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