You have the following compound inequality:
-4 < 2x + 6 < 6
In order to solve the previous inequality, proceed as follow:
- Subtract 6 in all parts of the compound inequality:
-4 - 6 < 2x + 6 - 6 < 6 - 6
-10 < 2x < 0
- Next, divide by 2:
-10/2 < 2x/2 <0/2
-5 < x < 0
Then, the solution is -5 < x < 0
The graph is shown below:
