Solve -3/4r>9/2

$$- \frac { 3 } { 4 } r > \frac { 9 } { 2 }$$

Solve for r

$$r<-6$$

Solution Steps

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}. Since -\frac{3}{4} is negative, the inequality direction is changed.

$$r<\frac{9}{2}\left(-\frac{4}{3}\right)$$

Multiply \frac{9}{2} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$r<\frac{9\left(-4\right)}{2\times 3}$$

Do the multiplications in the fraction \frac{9\left(-4\right)}{2\times 3}.

$$r<\frac{-36}{6}$$

Divide -36 by 6 to get -6.

$$r<-6$$