Venn diagram for (A intersection B) intersection (A union C)

Here is the Venn diagram for \((A \cap B) \cap (A \cup C)\). The shaded area represents the intersection of \(A \cap B\) and \(A \cup C\), showing where the elements are common to both.

Would you like any additional details or further clarification on this? 

Here are 5 related questions:
1. What would the diagram look like for \((A \cap B) \cup (A \cap C)\)?
2. How does De Morgan's law apply to Venn diagrams?
3. How would you calculate the probability of \((A \cap B) \cap (A \cup C)\)?
4. How does the diagram change if \(B \subseteq A\)?
5. What is the complement of \((A \cap B) \cap (A \cup C)\)?

**Tip:** When working with Venn diagrams, always start by understanding the basic operations like union, intersection, and complement for clarity.

Explore the Venn diagram for the intersection of (A ∩ B) and (A ∪ C), showing where elements are common to both sets. Learn about De Morgan's laws and how they apply to set theory diagrams. Suitable for advanced high school students and beyond.

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