Solve for v.
v + 8 ≤ 2
Look at the inequality.
v + 8 ≤ 2
Since v + 8 can be either positive or negative, split the inequality into two cases.
positive

or 
negative

v + 8 ≤ 2 

(v + 8) ≤ 2 
First, solve the positive case.
v + 8 ≤ 2


v ≤ 6 
Subtract 8 from both sides 
Next, solve the negative case.
(v + 8) ≤ 2


 v  8 ≤ 2

Apply the distributive property

 v ≤ 10

Add 8 to both sides

v ≥ 10 
Multiply both sides by 1 and reverse the direction of the inequality symbol 
Now, see if the two inequalities can be combined into a single statement. The variable
v
is greater than or equal to

10 and less than or equal to

6, which means it is in between the two values. Write the solution as a single statement.
10 ≤ v ≤ 6