Solve 90m+120(50-m)leq480

$$90 m + 120 ( 50 - m ) \leq 480$$

Solve for m

$$m\geq 184$$

Solution Steps

Use the distributive property to multiply 120 by 50-m.

$$90m+6000-120m\leq 480$$

Combine 90m and -120m to get -30m.

$$-30m+6000\leq 480$$

Subtract 6000 from both sides.

$$-30m\leq 480-6000$$

Subtract 6000 from 480 to get -5520.

$$-30m\leq -5520$$

Divide both sides by -30. Since -30 is negative, the inequality direction is changed.

$$m\geq \frac{-5520}{-30}$$

Divide -5520 by -30 to get 184.

$$m\geq 184$$