Solve 60000+(x-1000)*150-390000-200*1200geq75000

$$60000+(x-1000) \times 150-390000-200 \times 1200 \geq 75000$$

Solve for x

$$x\geq 5300$$

Solution Steps

Use the distributive property to multiply x-1000 by 150.

$$60000+150x-150000-390000-200\times 1200\geq 75000$$

Subtract 150000 from 60000 to get -90000.

$$-90000+150x-390000-200\times 1200\geq 75000$$

Subtract 390000 from -90000 to get -480000.

$$-480000+150x-200\times 1200\geq 75000$$

Multiply 200 and 1200 to get 240000.

$$-480000+150x-240000\geq 75000$$

Subtract 240000 from -480000 to get -720000.

$$-720000+150x\geq 75000$$

Add 720000 to both sides.

$$150x\geq 75000+720000$$

Add 75000 and 720000 to get 795000.

$$150x\geq 795000$$

Divide both sides by 150. Since 150 is positive, the inequality direction remains the same.

$$x\geq \frac{795000}{150}$$

Divide 795000 by 150 to get 5300.

$$x\geq 5300$$