Solve 1-x/2<-3

$$1 - \frac { x } { 2 } < - 3$$

Solve for x

$$x>8$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$2-x<-6$$

Subtract 2 from both sides.

$$-x<-6-2$$

Subtract 2 from -6 to get -8.

$$-x<-8$$

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

$$x>\frac{-8}{-1}$$

Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.

$$x>8$$