The symbol \( \in \) is used to indicate that an element belongs to a set. When you write \( x \in S \), it means "x belongs to the set S."

So, in the context of your question:

- **\( x \in \mathbb{R} \setminus \{4, -10\} \)** means that \( x \) is an element of the set of all real numbers \( \mathbb{R} \) except for the numbers 4 and -10.
  
- Alternatively, you can say \( x \in \mathbb{R} \) (for all real numbers) but \( x \notin \{4, -10\} \) (meaning \( x \) cannot be 4 or -10).

Thus, "X appartient" (or "x appartient à" in French) means "x belongs to." Specifically, in the context of the domain, it means that \( x \) belongs to the set of real numbers excluding specific values that make the denominator zero.

Would you like further clarification or have any other questions?

Here are 5 related questions you might consider:
1. What does \( x \notin A \) signify in set notation?
2. How do you represent the union of two sets using set notation?
3. What are the differences between finite and infinite sets?
4. How is interval notation used to describe domains?
5. How can you determine if a number belongs to an interval or set?

**Tip:** When dealing with functions, especially rational functions, always be mindful of the values that make the function undefined and adjust the domain accordingly.

Explore set membership and its application in mathematics. Learn about the symbol '∈' indicating set membership and how it defines elements within a set. Includes examples and applications in real numbers. Suitable for Grades 10-12 students.

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