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x<4\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}. Since -\frac{2}{3} is negative, the inequality direction is changed.
x<\frac{4\left(-3\right)}{2}
Express 4\left(-\frac{3}{2}\right) as a single fraction.
x<\frac{-12}{2}
Multiply 4 and -3 to get -12.
x<-6
Divide -12 by 2 to get -6.