https://file.aiquickdraw.com/mathbot/file/1726145533650172c5b0p.jpg

Which Region/s is/are shaded in  A ⋂ B ⋂ C ?
I
II
III
IV
V
VI
VII
VIII

The image shows a Venn diagram with three sets \( A \), \( B \), and \( C \) along with their universal set \( U \). The regions are numbered I to VIII, and we are tasked with identifying the region or regions corresponding to \( A \cap B \cap C \), which represents the intersection of sets \( A \), \( B \), and \( C \).

The region where all three sets overlap is the central region of the diagram, which is marked as **V**. Therefore, the region that corresponds to \( A \cap B \cap C \) is:

- **V** (Region V)

Would you like more details or have any questions? 

Here are five related questions to deepen your understanding:
1. What is the meaning of \( A \cup B \cup C \) in this Venn diagram?
2. Which regions represent \( A \cap B \), but not \( C \)?
3. Can you identify the regions representing only \( C \) (i.e., \( C - (A \cup B) \))?
4. What does \( (A \cap B)^c \), the complement of \( A \cap B \), correspond to in this diagram?
5. How would you represent \( A^c \cup B^c \cup C^c \), the complement of all sets?

**Tip**: In Venn diagrams, the overlap of sets visually represents intersections.

Which Region/s is/are shaded in A ⋂ B ⋂ C?

Identify which region in the Venn diagram represents the intersection of sets A, B, and C. This problem explores set theory concepts, specifically focusing on the intersection of three sets. Suitable for students in Grades 6-8.

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