$x\lt-4$ or $x\geq6$.
Work Step by Step
$0.3x-0.5\lt-1.7\\0.3x\lt-1.2\\x\lt-4$ or $0.4x\geq2.4\\x\geq6$ Thus $x\lt-4$ or $x\geq6$. Then, by using a graphing utility, the solution set is attached.
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