Solve 400a+280(6-a)geq240

$$400 a + 280 ( 6 - a ) \geq 240$$

Solve for a

$$a\geq -12$$

Solution Steps

Use the distributive property to multiply 280 by 6-a.

$$400a+1680-280a\geq 240$$

Combine 400a and -280a to get 120a.

$$120a+1680\geq 240$$

Subtract 1680 from both sides.

$$120a\geq 240-1680$$

Subtract 1680 from 240 to get -1440.

$$120a\geq -1440$$

Divide both sides by 120. Since 120 is positive, the inequality direction remains the same.

$$a\geq \frac{-1440}{120}$$

Divide -1440 by 120 to get -12.

$$a\geq -12$$