Solve 4-3/4x>-5

$$4 - \frac { 3 } { 4 } x > - 5$$

Solve for x

$$x<12$$

Solution Steps

Subtract 4 from both sides.

$$-\frac{3}{4}x>-5-4$$

Subtract 4 from -5 to get -9.

$$-\frac{3}{4}x>-9$$

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

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

Express -9\left(-\frac{4}{3}\right) as a single fraction.

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

Multiply -9 and -4 to get 36.

$$x<\frac{36}{3}$$

Divide 36 by 3 to get 12.

$$x<12$$