To solve the inequality \( 2 < q < 4 \):
- Identify the endpoints: The endpoints are \( 2 \) and \( 4 \).
- Determine whether to make endpoints open or closed:
- Since the inequality is strictly less than and does not include \( 2 \) or \( 4 \), both endpoints should be open.
- Graph the solution:
- Draw a number line.
- Place an open circle at \( 2 \) (indicating \( 2 \) is not included in the solution).
- Place an open circle at \( 4 \) (indicating \( 4 \) is not included in the solution).
- Shade the region between \( 2 \) and \( 4 \).
Solution summary:
The solution in interval notation is \( (2, 4) \).
Graph representation:
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2 3 4
(-----------------)
Here, the parentheses indicate open endpoints, and the shaded region represents all \( q \) values that satisfy the inequality \( 2 < q < 4 \).