Answer
The solution set is $~~(-\frac{4}{5}, \frac{8}{5})$
Work Step by Step
$\vert 5x-2 \vert \lt 6$
$-6 \lt 5x-2 \lt 6$
$-4 \lt 5x \lt 8$
$-\frac{4}{5} \lt x \lt \frac{8}{5}$
The solution set is $~~(-\frac{4}{5}, \frac{8}{5})$
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