Solve -4/5x<2/8

$$- \frac { 4 } { 5 } x < \frac { 2 } { 8 }$$

Solve for x

$$x>-\frac{5}{16}$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{5}x<\frac{1}{4}$$

Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}. Since -\frac{4}{5} is negative, the inequality direction is changed.

$$x>\frac{1}{4}\left(-\frac{5}{4}\right)$$

Multiply \frac{1}{4} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x>\frac{1\left(-5\right)}{4\times 4}$$

Do the multiplications in the fraction \frac{1\left(-5\right)}{4\times 4}.

$$x>\frac{-5}{16}$$

Fraction \frac{-5}{16} can be rewritten as -\frac{5}{16} by extracting the negative sign.

$$x>-\frac{5}{16}$$