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To solve \( A \cap B \) using the Venn diagram provided, we need to find the elements that are common to both sets \( A \) and \( B \).

### Steps to Solve:

1. **Identify elements in Set A**: 
   - Elements in Set \( A \) are those inside the oval labeled \( A \).
   - From the diagram, the elements in Set \( A \) are: \( \{2, 3, 4, 5, 7\} \).

2. **Identify elements in Set B**: 
   - Elements in Set \( B \) are those inside the oval labeled \( B \).
   - From the diagram, the elements in Set \( B \) are: \( \{3, 4, 5, 6, 9, 15\} \).

3. **Find the intersection \( A \cap B \)**:
   - The intersection \( A \cap B \) consists of elements that are common to both \( A \) and \( B \).
   - The common elements between Set \( A \) and Set \( B \) are: \( \{3, 4, 5\} \).

### Answer:
\[ A \cap B = \{3, 4, 5\} \]

Would you like further details or have any questions? Here are some related questions to explore:

1. What is the union of \( A \) and \( B \) in the Venn diagram?
2. What is the complement of \( A \) in the universal set \( U \)?
3. How would you find the intersection \( B \cap C \) from the diagram?
4. What is the difference between \( A \) and \( B \), \( A - B \)?
5. How do the elements outside of all sets relate to the universal set \( U \)?

**Tip**: In a Venn diagram, the intersection of two sets represents the elements that the sets have in common.

Learn how to solve the intersection of sets A and B using a Venn diagram. Understand the common elements between sets A and B (A ∩ B = {3, 4, 5}). This problem covers key concepts in set theory and Venn diagrams, suitable for high school students.

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