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-\frac{3}{4}x+3<0
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-\frac{3}{4}x<-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x>-3\left(-\frac{4}{3}\right)
Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}. Since -\frac{3}{4} is negative, the inequality direction is changed.
x>4
Multiply -3 times -\frac{4}{3}.