Solve left(x-100right)0.18>0.1x

$$\left( x-100 \right) 0.18 > 0.1x$$

Solve for x

$$x>225$$

Solution Steps

Use the distributive property to multiply x-100 by 0.18.

$$0.18x-18>0.1x$$

Subtract 0.1x from both sides.

$$0.18x-18-0.1x>0$$

Combine 0.18x and -0.1x to get 0.08x.

$$0.08x-18>0$$

Add 18 to both sides. Anything plus zero gives itself.

$$0.08x>18$$

Divide both sides by 0.08. Since 0.08 is positive, the inequality direction remains the same.

$$x>\frac{18}{0.08}$$

Expand \frac{18}{0.08} by multiplying both numerator and the denominator by 100.

$$x>\frac{1800}{8}$$

Divide 1800 by 8 to get 225.

$$x>225$$