Answer
$(-∞,1)\cup(5,∞)$
Work Step by Step
We simplify as follows:
$6x-2\gt5x+3$ or $4x-3\lt x$
$x\gt5$ or $3x\lt3$
$x\gt5$ or $x\lt1$
$(-∞,1)\cup(5,∞)$
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