Solve 9m+2<16+5(7m-4)-28m

$$9 m + 2 < 16 + 5 ( 7 m - 4 ) - 28 m$$

Solve for m

$$m<-3$$

Solution Steps

Use the distributive property to multiply 5 by 7m-4.

$$9m+2<16+35m-20-28m$$

Subtract 20 from 16 to get -4.

$$9m+2<-4+35m-28m$$

Combine 35m and -28m to get 7m.

$$9m+2<-4+7m$$

Subtract 7m from both sides.

$$9m+2-7m<-4$$

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

$$2m+2<-4$$

Subtract 2 from both sides.

$$2m<-4-2$$

Subtract 2 from -4 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.

$$m<-3$$