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Express the interval using two different representations

The image contains a math problem asking to express an interval using two different representations. However, the text is slightly blurry. From what is visible, it looks like the task involves expressing an interval on the real number line.

To assist you, I'll guide you through expressing intervals in both **interval notation** and **set-builder notation**.

### Example:
- **Interval Notation:**  
  An interval like \( [a, b) \) includes all numbers between \( a \) and \( b \), including \( a \) but not \( b \).
  
- **Set-Builder Notation:**  
  The same interval can be written as \( \{ x \mid a \leq x < b \} \), which reads as "the set of all \( x \) such that \( a \leq x < b \)."

### Steps to solve the problem:
1. **Identify the interval** from the question. Let's assume the interval is \( [2, 5) \) as an example.
2. **Express the interval in interval notation:**  
   This is already given as \( [2, 5) \).
3. **Convert to set-builder notation:**  
   It would be written as \( \{ x \mid 2 \leq x < 5 \} \).

If you need specific help with the interval visible in your image, please provide additional details, or I can attempt to enhance the visibility of the image.

Would you like me to clarify this process further, or provide additional examples?

Here are some questions to expand on this concept:
1. How would you express the interval \( (0, 3] \) in set-builder notation?
2. What does an open interval \( (a, b) \) imply about the inclusion of the endpoints?
3. How would you represent the interval \( (-\infty, 4] \) in both notations?
4. Can an interval be expressed differently if it’s bounded or unbounded?
5. How would you denote an interval that includes all real numbers except a specific point?

**Tip:** In interval notation, parentheses \( () \) indicate that the endpoint is *not* included, while brackets \( [] \) mean that the endpoint *is* included.

Learn how to express intervals on the real number line using both interval notation and set-builder notation. This page provides a detailed explanation and examples, helping you understand the differences and applications of each notation.

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