Solve 2-x/5<-2

$$\frac { 2 - x } { 5 } < - 2$$

Solve for x

$$x>12$$

Solution Steps

Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$2-x<-2\times 5$$

Multiply -2 and 5 to get -10.

$$2-x<-10$$

Subtract 2 from both sides.

$$-x<-10-2$$

Subtract 2 from -10 to get -12.

$$-x<-12$$

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

$$x>\frac{-12}{-1}$$

Fraction \frac{-12}{-1} can be simplified to 12 by removing the negative sign from both the numerator and the denominator.

$$x>12$$