Solve 3-x/4<-2

$$\frac { 3 - x } { 4 } < - 2$$

Solve for x

$$x>11$$

Solution Steps

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$3-x<-2\times 4$$

Multiply -2 and 4 to get -8.

$$3-x<-8$$

Subtract 3 from both sides.

$$-x<-8-3$$

Subtract 3 from -8 to get -11.

$$-x<-11$$

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

$$x>\frac{-11}{-1}$$

Fraction \frac{-11}{-1} can be simplified to 11 by removing the negative sign from both the numerator and the denominator.

$$x>11$$