Solve -12/5vgeq-8

$$- \frac { 12 } { 5 } v \geq - 8$$

Solve for v

$$v\leq \frac{10}{3}$$

Solution Steps

Multiply both sides by -\frac{5}{12}, the reciprocal of -\frac{12}{5}. Since -\frac{12}{5} is negative, the inequality direction is changed.

$$v\leq -8\left(-\frac{5}{12}\right)$$

Express -8\left(-\frac{5}{12}\right) as a single fraction.

$$v\leq \frac{-8\left(-5\right)}{12}$$

Multiply -8 and -5 to get 40.

$$v\leq \frac{40}{12}$$

Reduce the fraction \frac{40}{12} to lowest terms by extracting and canceling out 4.

$$v\leq \frac{10}{3}$$