The expression \( A \cup C' \) refers to the **union** of set \( A \) and the **complement** of set \( C \). Here's a breakdown of the components:

1. **\( A \)**: This is the first set.
2. **\( C' \)**: This is the complement of set \( C \), which means all the elements that are **not** in \( C \) but are within the universal set.
3. **\( \cup \)**: This symbol represents the union, which includes all elements that are either in \( A \) or in \( C' \) (or in both).

Thus, \( A \cup C' \) contains all elements that are in set \( A \), combined with all elements not in set \( C \).

If you have specific sets for \( A \) and \( C \), I can calculate the union for you.

Would you like more details or clarification?

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**Relative Questions:**

1. What is the difference between union and intersection in set theory?
2. How do you find the complement of a set in practice?
3. Can the union of two sets be equal to one of the sets?
4. How does the complement of a set relate to the universal set?
5. How would the expression change if we had \( A \cap C' \) instead?

**Tip:** In set theory, the union of two sets combines all unique elements, ensuring no duplicates between the sets.

Understand the union of set A and the complement of set C (A ∪ C′). This problem covers key concepts in set theory, including how to find the union and complement of sets. Suitable for students in Grades 8-10.

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