Solve 150x+(100-x)*500leq10000

$$150 x + ( 100 - x ) \times 500 \leq 10000$$

Solve for x

$$x\geq \frac{800}{7}$$

Solution Steps

Use the distributive property to multiply 100-x by 500.

$$150x+50000-500x\leq 10000$$

Combine 150x and -500x to get -350x.

$$-350x+50000\leq 10000$$

Subtract 50000 from both sides.

$$-350x\leq 10000-50000$$

Subtract 50000 from 10000 to get -40000.

$$-350x\leq -40000$$

Divide both sides by -350. Since -350 is negative, the inequality direction is changed.

$$x\geq \frac{-40000}{-350}$$

Reduce the fraction \frac{-40000}{-350} to lowest terms by extracting and canceling out -50.

$$x\geq \frac{800}{7}$$