Solve 4*2/3x>-20/3

$$4 \times \frac { 2 } { 3 } x > - \frac { 20 } { 3 }$$

Solve for x

$$x>-\frac{5}{2}$$

Solution Steps

Express 4\times \frac{2}{3} as a single fraction.

$$\frac{4\times 2}{3}x>-\frac{20}{3}$$

Multiply 4 and 2 to get 8.

$$\frac{8}{3}x>-\frac{20}{3}$$

Multiply both sides by \frac{3}{8}, the reciprocal of \frac{8}{3}. Since \frac{8}{3} is positive, the inequality direction remains the same.

$$x>-\frac{20}{3}\times \frac{3}{8}$$

Multiply -\frac{20}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$x>\frac{-20\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$x>\frac{-20}{8}$$

Reduce the fraction \frac{-20}{8} to lowest terms by extracting and canceling out 4.

$$x>-\frac{5}{2}$$