https://file.aiquickdraw.com/mathbot/file/1726183395779ni2im1z4.jpg

The Venn diagram in the image shows two sets, \( A \) and \( B \). To determine the union of sets \( A \) and \( B \) (denoted as \( A \cup B \)), you need to include all elements that are in either set \( A \), set \( B \), or both.

### Elements from the Venn diagram:
- Elements in set \( A \): {1, 6, 8}
- Elements in set \( B \): {6, 7, 14}
- The intersection of \( A \) and \( B \) (common element): {6}

### Union of \( A \cup B \):
To get the union, combine all elements from both sets without repetition:

\[
A \cup B = \{1, 6, 7, 8, 14\}
\]

Would you like more details on this process or any related questions?

Here are 5 questions you might consider:
1. What is the intersection of two sets, and how does it differ from the union?
2. How would you calculate \( A \cap B \) (intersection of \( A \) and \( B \)) from this diagram?
3. If the sets had more elements, how would that affect the union operation?
4. How can you visualize the complement of a set using a Venn diagram?
5. Can the union of two sets ever be empty? Why or why not?

**Tip:** When working with Venn diagrams, always pay attention to overlapping regions to identify intersections.

Use the Venn diagram to determine the set A ∪ B.

Learn how to determine the union of sets A and B using a Venn diagram. This problem involves key set theory concepts such as the union of sets and Venn diagrams. Suitable for students in Grades 6-8.

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