Solve (x-1500)*0.15+1500>3500

$$(x-1500) \times 0.15+1500 > 3500$$

Solve for x

$$x>\frac{44500}{3}$$

Solution Steps

Use the distributive property to multiply x-1500 by 0.15.

$$0.15x-225+1500>3500$$

Add -225 and 1500 to get 1275.

$$0.15x+1275>3500$$

Subtract 1275 from both sides.

$$0.15x>3500-1275$$

Subtract 1275 from 3500 to get 2225.

$$0.15x>2225$$

Divide both sides by 0.15. Since 0.15 is positive, the inequality direction remains the same.

$$x>\frac{2225}{0.15}$$

Expand \frac{2225}{0.15} by multiplying both numerator and the denominator by 100.

$$x>\frac{222500}{15}$$

Reduce the fraction \frac{222500}{15} to lowest terms by extracting and canceling out 5.

$$x>\frac{44500}{3}$$