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To find the elements of \((A \cup B)'\), which is the complement of the union of sets \(A\) and \(B\), we need to follow these steps:

1. **Union of \(A\) and \(B\) (\(A \cup B\)):**
   - The union of two sets includes all elements in either \(A\), \(B\), or both.
   - From the Venn diagram:
     - Elements in \(A\) are: \( \{1, 3, 5, 7, 9\} \)
     - Elements in \(B\) are: \( \{6, 7, 8, 9, 10\} \)
   - The union \(A \cup B = \{1, 3, 5, 6, 7, 8, 9, 10\}\)

2. **Complement of \(A \cup B\) (\((A \cup B)'\)):**
   - The complement includes all elements in the universal set \(U\) that are *not* in \(A \cup B\).
   - Based on the Venn diagram, the elements outside sets \(A\) and \(B\) are \( \{2, 4\} \).

So, the elements of \((A \cup B)'\) are \(\{2, 4\}\).

Thus, the correct answer is:
- \( \{2, 4\} \)

Do you want more details or have any questions? 

Here are 5 related questions to deepen understanding:
1. What is the difference between a union and an intersection of two sets?
2. How would you find \((A \cap B)'\) using a similar approach?
3. Can you explain how the universal set influences set complements?
4. What happens if the sets \(A\) and \(B\) are disjoint (have no elements in common)?
5. How does the concept of a complement change if the universal set is redefined?

**Tip:** When dealing with complements, always ensure you know the universal set's elements, as the complement is based on this.

Given the Venn diagram below with the universal set U and sets A and B, what are the elements of (A ∪ B)'?

This problem involves finding the complement of the union of sets A and B using a Venn diagram. It explores key concepts in set theory, including the union and complement of sets, and is appropriate for students in Grades 8-10.

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