Solve -12/7v<8

$$- \frac { 12 } { 7 } v < 8$$

Solve for v

$$v>-\frac{14}{3}$$

Solution Steps

Multiply both sides by -\frac{7}{12}, the reciprocal of -\frac{12}{7}. Since -\frac{12}{7} is negative, the inequality direction is changed.

$$v>8\left(-\frac{7}{12}\right)$$

Express 8\left(-\frac{7}{12}\right) as a single fraction.

$$v>\frac{8\left(-7\right)}{12}$$

Multiply 8 and -7 to get -56.

$$v>\frac{-56}{12}$$

Reduce the fraction \frac{-56}{12} to lowest terms by extracting and canceling out 4.

$$v>-\frac{14}{3}$$