Solve 96/5x>-3

$$\frac { 96 } { 5 } x > - 3$$

Solve for x

$$x>-\frac{5}{32}$$

Solution Steps

Multiply both sides by \frac{5}{96}, the reciprocal of \frac{96}{5}. Since \frac{96}{5} is positive, the inequality direction remains the same.

$$x>-3\times \frac{5}{96}$$

Express -3\times \frac{5}{96} as a single fraction.

$$x>\frac{-3\times 5}{96}$$

Multiply -3 and 5 to get -15.

$$x>\frac{-15}{96}$$

Reduce the fraction \frac{-15}{96} to lowest terms by extracting and canceling out 3.

$$x>-\frac{5}{32}$$