Solve -1/3x<2/3

$$- \frac { 1 } { 3 } x < \frac { 2 } { 3 }$$

Solve for x

$$x>-2$$

Solution Steps

Multiply both sides by -3, the reciprocal of -\frac{1}{3}. Since -\frac{1}{3} is negative, the inequality direction is changed.

$$x>\frac{2}{3}\left(-3\right)$$

Express \frac{2}{3}\left(-3\right) as a single fraction.

$$x>\frac{2\left(-3\right)}{3}$$

Multiply 2 and -3 to get -6.

$$x>\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$x>-2$$