Question

Solve the inequality for v.
5v+5<-1/2v-8

Answer 1

`v< -(26)/(11)`

or

`v < -2.364`

Explanation:

we have

`5v+5<-(1)/(2)v-8`

Solve for v

Multiply by 2 both sides to remove the fraction

`10v+10<-v-16`

Adds v both sides

`10v+10+v<-16\\11v+10<-16`

subtract 10 both sides

`11v<-16-10\\11v< -26`

Divide by 11 both sides

`v< -(26)/(11)`

or

`v < -2.364`

The solution is the shaded area at left of x=-2.364 (open circle)

see the attached figure to better understand the problem