Solve (x-1500)*0.1+1500>3500

$$(x-1500) \times 0.1+1500 > 3500$$

Solve for x

$$x>21500$$

Solution Steps

Use the distributive property to multiply x-1500 by 0.1.

$$0.1x-150+1500>3500$$

Add -150 and 1500 to get 1350.

$$0.1x+1350>3500$$

Subtract 1350 from both sides.

$$0.1x>3500-1350$$

Subtract 1350 from 3500 to get 2150.

$$0.1x>2150$$

Divide both sides by 0.1. Since 0.1 is positive, the inequality direction remains the same.

$$x>\frac{2150}{0.1}$$

Expand \frac{2150}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$x>21500$$