Solve x/2-4<-9-x/3

$$\frac { x } { 2 } - 4 < - 9 - \frac { x } { 3 }$$

Solve for x

$$x<-6$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.

$$3x-24<-54-2x$$

Add 2x to both sides.

$$3x-24+2x<-54$$

Combine 3x and 2x to get 5x.

$$5x-24<-54$$

Add 24 to both sides.

$$5x<-54+24$$

Add -54 and 24 to get -30.

$$5x<-30$$

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

$$x<\frac{-30}{5}$$

Divide -30 by 5 to get -6.

$$x<-6$$