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The given question asks to identify the region shaded in \( (C \cup A) \cap B \) on the Venn diagram.

To break this down:

1. **\( C \cup A \)**: This represents the union of sets \(C\) and \(A\). This includes all regions that belong to either \(C\) or \(A\) or both. From the Venn diagram, this includes regions: **I, II, IV, V, VI, VII**.

2. **\( B \)**: This represents all the regions that belong to set \(B\). From the diagram, the regions in \(B\) are: **II, III, V, VI**.

3. **Intersection \( (C \cup A) \cap B \)**: This represents the overlap between \( C \cup A \) and \( B \), which means we are looking for the regions that are common to both sets. These common regions are: **II, V, VI**.

Thus, the regions shaded in \( (C \cup A) \cap B \) are **II, V, and VI**.

Do you need further details or clarifications on this?

Here are five related questions to deepen your understanding:

1. What does \( A \cap B \) represent in a Venn diagram?
2. How would the regions change if we asked for \( C \cap B \)?
3. What is the union \( A \cup B \cup C \) in the diagram?
4. Can you identify the region representing \( A \setminus B \)?
5. How would \( (A \cup B) \setminus C \) be represented?

**Tip**: The union of sets includes all elements from both sets, while the intersection includes only the elements common to both sets.

Which Region/s is/are shaded in (C ∪ A) ∩ B?

This Venn diagram problem asks students to find the shaded regions representing (C ∪ A) ∩ B. Learn how to apply set theory to identify the overlapping regions, focusing on unions and intersections. Suitable for students in Grades 8-10.

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