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interval notation & the inequality notation to this line 

The new image you uploaded shows a number line with the interval highlighted between \(2\) and \(6\), but with open circles at both endpoints, indicating that \(2\) and \(6\) are not included in the interval.

### Representations:
1. **Interval Notation**:
   Since the interval excludes both endpoints, it is written as:
   \[
   (2, 6)
   \]

2. **Inequality Notation**:
   This can be expressed as:
   \[
   2 < x < 6
   \]

### Final Answer:
- **Interval Notation**: \((2, 6)\)
- **Inequality Notation**: \(2 < x < 6\)

Would you like more details or have any questions?

Here are five related questions to further explore this topic:
1. How would the interval change if the circles at 2 and 6 were filled instead?
2. What is the inequality notation for an interval starting from 0 (inclusive) to 5 (exclusive)?
3. How do you express the interval from \(-\infty\) to 3 (exclusive) using interval notation?
4. Can you represent an interval that includes one endpoint and excludes the other? How?
5. What does it mean when both endpoints in an interval are included on the number line?

**Tip:** Always double-check whether endpoints are included (closed intervals) or excluded (open intervals) when interpreting a number line.

Explore interval notation and inequality notation in mathematics with detailed explanations and examples. Learn how to interpret number line intervals and translate them into mathematical notation. Suitable for Grades 7-9.

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