Solve 310x+(50-x)*460leq18000

$$310 x + ( 50 - x ) \times 460 \leq 18000$$

Solve for x

$$x\geq \frac{100}{3}$$

Solution Steps

Use the distributive property to multiply 50-x by 460.

$$310x+23000-460x\leq 18000$$

Combine 310x and -460x to get -150x.

$$-150x+23000\leq 18000$$

Subtract 23000 from both sides.

$$-150x\leq 18000-23000$$

Subtract 23000 from 18000 to get -5000.

$$-150x\leq -5000$$

Divide both sides by -150. Since -150 is negative, the inequality direction is changed.

$$x\geq \frac{-5000}{-150}$$

Reduce the fraction \frac{-5000}{-150} to lowest terms by extracting and canceling out -50.

$$x\geq \frac{100}{3}$$