Solve -4/3x>2/5

$$\frac { - 4 } { 3 } x > \frac { 2 } { 5 }$$

Solve for x

$$x<-\frac{3}{10}$$

Solution Steps

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$-\frac{4}{3}x>\frac{2}{5}$$

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

$$x<\frac{2}{5}\left(-\frac{3}{4}\right)$$

Multiply \frac{2}{5} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x<\frac{2\left(-3\right)}{5\times 4}$$

Do the multiplications in the fraction \frac{2\left(-3\right)}{5\times 4}.

$$x<\frac{-6}{20}$$

Reduce the fraction \frac{-6}{20} to lowest terms by extracting and canceling out 2.

$$x<-\frac{3}{10}$$