Solve 0.5-x<1

$$0.5-x < 1$$

Solve for x

$$x>-0.5$$

Solution Steps

Subtract 0.5 from both sides.

$$-x<1-0.5$$

Subtract 0.5 from 1 to get 0.5.

$$-x<0.5$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x>\frac{0.5}{-1}$$

Expand \frac{0.5}{-1} by multiplying both numerator and the denominator by 10.

$$x>\frac{5}{-10}$$

Reduce the fraction \frac{5}{-10} to lowest terms by extracting and canceling out 5.

$$x>-\frac{1}{2}$$