Solve 2500m+2100(20-m)geq45000

$$2500 m + 2100 ( 20 - m ) \geq 45000$$

Solve for m

$$m\geq \frac{15}{2}$$

Solution Steps

Use the distributive property to multiply 2100 by 20-m.

$$2500m+42000-2100m\geq 45000$$

Combine 2500m and -2100m to get 400m.

$$400m+42000\geq 45000$$

Subtract 42000 from both sides.

$$400m\geq 45000-42000$$

Subtract 42000 from 45000 to get 3000.

$$400m\geq 3000$$

Divide both sides by 400. Since 400 is positive, the inequality direction remains the same.

$$m\geq \frac{3000}{400}$$

Reduce the fraction \frac{3000}{400} to lowest terms by extracting and canceling out 200.

$$m\geq \frac{15}{2}$$