To solve the inequality 12 < 2x + 2 < 22, we need to isolate the variable x.
First, let's subtract 2 from all parts of the inequality:
12 - 2 < 2x + 2 - 2 < 22 - 2
10 < 2x < 20
Next, divide all parts of the inequality by 2:
10/2 < 2x/2 < 20/2
5 < x < 10
So, the solution to the inequality 12 < 2x + 2 < 22 is 5 < x < 10.