https://file.aiquickdraw.com/mathbot/file/17255904140107z5tlh34.jpg

The Venn diagram in the image represents two sets, \( A \) and \( B \), inside a universal set \( U \). Based on the diagram:

- The yellow region outside of the two circles (representing \( A \) and \( B \)) is the complement of the union of \( A \) and \( B \), denoted as \( (A \cup B)^c \), meaning everything outside of the union of sets \( A \) and \( B \).

Thus, the diagram represents \( (A \cup B)^c \), which includes all elements that are in the universal set \( U \) but not in either \( A \) or \( B \).

Would you like any further details on how this works? 

Here are 5 related questions you can explore:
1. What is the union and intersection of sets in Venn diagrams?
2. How is the complement of a set defined in set theory?
3. What are the common operations in Venn diagrams, such as union, intersection, and difference?
4. How do you represent the complement of \( A \) and \( B \) individually?
5. How do you find the area represented by both the intersection and the union in a Venn diagram?

**Tip**: Always start analyzing Venn diagrams by identifying the universal set and whether the shaded region is inside or outside the sets shown.

Which of the following does the Venn diagram represent?

This Venn diagram problem involves identifying the complement of the union of two sets, A and B, within the universal set U. Explore the detailed solution to understand the concept of set complements and unions in set theory. Suitable for students in Grades 9-12.

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