Solve 8leq-12/5y

$$8 \leq - \frac { 12 } { 5 } y$$

Solve for y

$$y\leq -\frac{10}{3}$$

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.

$$8\left(-\frac{5}{12}\right)\geq y$$

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

$$\frac{8\left(-5\right)}{12}\geq y$$

Multiply 8 and -5 to get -40.

$$\frac{-40}{12}\geq y$$

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

$$-\frac{10}{3}\geq y$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$y\leq -\frac{10}{3}$$