Solve 0.25x-1.5>0.125-1

$$0.25 x - 1.5 > 0.125 - 1$$

Solve for x

$$x>2.5$$

Solution Steps

Subtract 1 from 0.125 to get -0.875.

$$0.25x-1.5>-0.875$$

Add 1.5 to both sides.

$$0.25x>-0.875+1.5$$

Add -0.875 and 1.5 to get 0.625.

$$0.25x>0.625$$

Divide both sides by 0.25. Since 0.25 is positive, the inequality direction remains the same.

$$x>\frac{0.625}{0.25}$$

Expand \frac{0.625}{0.25} by multiplying both numerator and the denominator by 1000.

$$x>\frac{625}{250}$$

Reduce the fraction \frac{625}{250} to lowest terms by extracting and canceling out 125.

$$x>\frac{5}{2}$$