Answer
$-2 \lt x \lt 10 $
Work Step by Step
$|6-\frac{3}{2}x|\lt 9$
$6-\frac{3}{2}x \lt9$ or $6-\frac{3}{2}x \gt -9$
$-\frac{3}{2}x \lt -3$ or $-\frac{3}{2}x \gt -15$
$x \gt -2$ or $x \lt 10$
$-2 \lt x \lt 10 $
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