Solve 400(12-x)+500xgeq5500

$$400 ( 12 - x ) + 500 x \geq 5500$$

Solve for x

$$x\geq 7$$

Solution Steps

Use the distributive property to multiply 400 by 12-x.

$$4800-400x+500x\geq 5500$$

Combine -400x and 500x to get 100x.

$$4800+100x\geq 5500$$

Subtract 4800 from both sides.

$$100x\geq 5500-4800$$

Subtract 4800 from 5500 to get 700.

$$100x\geq 700$$

Divide both sides by 100. Since 100 is positive, the inequality direction remains the same.

$$x\geq \frac{700}{100}$$

Divide 700 by 100 to get 7.

$$x\geq 7$$