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x<2
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-\frac{3}{2}x>-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x<-3\left(-\frac{2}{3}\right)
Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}. Since -\frac{3}{2} is negative, the inequality direction is changed.
x<2
Multiply -3 times -\frac{2}{3}.
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