Solve -9/4x<-12

$$- \frac { 9 } { 4 } x < - 12$$

Solve for x

$$x>\frac{16}{3}$$

Solution Steps

Multiply both sides by -\frac{4}{9}, the reciprocal of -\frac{9}{4}. Since -\frac{9}{4} is negative, the inequality direction is changed.

$$x>-12\left(-\frac{4}{9}\right)$$

Express -12\left(-\frac{4}{9}\right) as a single fraction.

$$x>\frac{-12\left(-4\right)}{9}$$

Multiply -12 and -4 to get 48.

$$x>\frac{48}{9}$$

Reduce the fraction \frac{48}{9} to lowest terms by extracting and canceling out 3.

$$x>\frac{16}{3}$$