Solve -28+5(7-v)<-2(v+4)

$$- 28 + 5 ( 7 - v ) < - 2 ( v + 4 )$$

Solve for v

$$v>5$$

Solution Steps

Use the distributive property to multiply 5 by 7-v.

$$-28+35-5v<-2\left(v+4\right)$$

Add -28 and 35 to get 7.

$$7-5v<-2\left(v+4\right)$$

Use the distributive property to multiply -2 by v+4.

$$7-5v<-2v-8$$

Add 2v to both sides.

$$7-5v+2v<-8$$

Combine -5v and 2v to get -3v.

$$7-3v<-8$$

Subtract 7 from both sides.

$$-3v<-8-7$$

Subtract 7 from -8 to get -15.

$$-3v<-15$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$v>\frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$v>5$$