Question

Solve the inequality and graph the solution.
2<
q
4
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( 2 < q < 4 \):

1. **Identify the endpoints**: The endpoints are \( 2 \) and \( 4 \).
2. **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.
3. **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:
```plaintext
-------------------------------------
2 3 4
(-----------------)
```

Here, the parentheses indicate open endpoints, and the shaded region represents all \( q \) values that satisfy the inequality \( 2 < q < 4 \).