Question

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

Answer 1

Answer:

$v< -\frac{26}{11}$  

or

$v < -2.364$

Step-by-step explanation:

we have

$5v+5<-\frac{1}{2}v-8$

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

$v< -\frac{26}{11}$

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