Solve 3(2x+9)<15

$$3 ( 2 x + 9 ) < 15$$

Solve for x

$$x<-2$$

Solution Steps

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$2x+9<\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$2x+9<5$$

Subtract 9 from both sides.

$$2x<5-9$$

Subtract 9 from 5 to get -4.

$$2x<-4$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

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

Divide -4 by 2 to get -2.

$$x<-2$$