The solution to the system of inequalities is x < 1 or x > 2
How to determine the solution to the system of inequalities
From the question, we have the following parameters that can be used in our computation:
2x + 6 < 8 or 2x + 8 > 12
When the like terms are collected, we have
2x < 2 or 2x > 4
Divide both sides of the inequality expressions by 2
This gives
x < 1 or x > 2
Hence, the solution to the system of inequalities is x < 1 or x > 2