4<2x-16<14

To solve the inequality 4 < 2x - 16 < 14, we need to isolate the variable x. Here's how we can do it step by step:

Step 1: Add 16 to all sides of the inequality:
4 + 16 < 2x - 16 + 16 < 14 + 16
20 < 2x < 30

Step 2: Divide all sides of the inequality by 2:
20/2 < 2x/2 < 30/2
10 < x < 15

Therefore, the solution to the inequality 4 < 2x - 16 < 14 is x ∈ (10, 15). This means that x is a value between 10 and 15, excluding the endpoints.