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.