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The question is asking which of the following expressions represents all real numbers except for 9.

Let's break down the options:

- **A. \((- \infty, 2) \cup (2, \infty)\)**  
  This represents all real numbers except 2, as it excludes the number 2 but includes everything else.

- **B. \((- \infty, -2) \cup (-2, \infty)\)**  
  This represents all real numbers except -2, as it excludes -2 but includes all other real numbers.

- **C. \((- \infty, 9) \cup (9, \infty)\)**  
  This represents all real numbers except 9. The union of these two intervals excludes the number 9 but includes everything else.

- **D. \((- \infty, 1) \cup (1, \infty)\)**  
  This represents all real numbers except 1, as it excludes the number 1 but includes all other real numbers.

### Conclusion:
The correct option is **C. \((- \infty, 9) \cup (9, \infty)\)**, because it represents all real numbers except 9.

Would you like more details, or do you have any further questions?

Here are five related questions:
1. What is the meaning of interval notation in set theory?
2. How do unions of intervals work in mathematics?
3. Can you represent all real numbers except for a different specific number using intervals?
4. What is the difference between open and closed intervals?
5. How would this problem change if we were excluding multiple numbers?

**Tip:** When using union operations on intervals, always pay attention to the endpoints to understand which numbers are included or excluded!

Which of the following expressions means all real numbers except 9?

Discover how to represent all real numbers except for a specific number using interval notation. This problem focuses on set theory, interval unions, and excluding values. Perfect for high school students (Grades 9-12) studying set theory.

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