Solve 1200x-800/800geq50

$$\frac { 1200 x - 800 } { 800 } \geq 50$$

Solve for x

$$x\geq 34$$

Solution Steps

Multiply both sides by 800. Since 800 is positive, the inequality direction remains the same.

$$1200x-800\geq 50\times 800$$

Multiply 50 and 800 to get 40000.

$$1200x-800\geq 40000$$

Add 800 to both sides.

$$1200x\geq 40000+800$$

Add 40000 and 800 to get 40800.

$$1200x\geq 40800$$

Divide both sides by 1200. Since 1200 is positive, the inequality direction remains the same.

$$x\geq \frac{40800}{1200}$$

Divide 40800 by 1200 to get 34.

$$x\geq 34$$