Solve -2/5u+13geq1

$$- \frac { 2 } { 5 } u + 13 \geq 1$$

Solve for u

$$u\leq 30$$

Solution Steps

Subtract 13 from both sides.

$$-\frac{2}{5}u\geq 1-13$$

Subtract 13 from 1 to get -12.

$$-\frac{2}{5}u\geq -12$$

Multiply both sides by -\frac{5}{2}, the reciprocal of -\frac{2}{5}. Since -\frac{2}{5} is negative, the inequality direction is changed.

$$u\leq -12\left(-\frac{5}{2}\right)$$

Express -12\left(-\frac{5}{2}\right) as a single fraction.

$$u\leq \frac{-12\left(-5\right)}{2}$$

Multiply -12 and -5 to get 60.

$$u\leq \frac{60}{2}$$

Divide 60 by 2 to get 30.

$$u\leq 30$$