Solve 9m+3<9+4(7m-3)-21m

$$9 m + 3 < 9 + 4 ( 7 m - 3 ) - 21 m$$

Solve for m

$$m<-3$$

Solution Steps

Use the distributive property to multiply 4 by 7m-3.

$$9m+3<9+28m-12-21m$$

Subtract 12 from 9 to get -3.

$$9m+3<-3+28m-21m$$

Combine 28m and -21m to get 7m.

$$9m+3<-3+7m$$

Subtract 7m from both sides.

$$9m+3-7m<-3$$

Combine 9m and -7m to get 2m.

$$2m+3<-3$$

Subtract 3 from both sides.

$$2m<-3-3$$

Subtract 3 from -3 to get -6.

$$2m<-6$$

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

$$m<\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$m<-3$$