Answer
$x \gt \frac{3}{2}$ or $x \lt 0$
Work Step by Step
$|4x-3| \gt 3$
$4x-3 \gt3$ or $4x - 3 \lt-3$
$4x \gt 6$ or $4x \lt 0$
$x \gt \frac{3}{2}$ or $x \lt 0$
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