The image provided asks for a Venn diagram to represent the relationship between three sets $A$, $B$, and $C$. The sets are defined as:

• $A = \{1, 2, 3, 4, 5\}$
• $B = \{3, 4, 5, 6, 7\}$
• $C = \{5, 6, 7, 8, 9\}$

Steps to create the Venn diagram:

1. Identify the shared elements:

   • Intersection of $A$ and $B$: $\{3, 4, 5\}$
   • Intersection of $A$ and $C$: $\{5\}$
   • Intersection of $B$ and $C$: $\{5, 6, 7\}$
   • Intersection of all three sets $A \cap B \cap C$: $\{5\}$

2. Unique elements:

   • Unique to $A$: $\{1, 2\}$
   • Unique to $B$: $\{6, 7\}$
   • Unique to $C$: $\{8, 9\}$

Now, you can draw a Venn diagram with three overlapping circles, each representing one set $A$, $B$, and $C$, and place the elements in their respective intersections and individual sections according to the analysis above.

Would you like me to generate the diagram for you?

Here are some related questions to deepen your understanding:

1. What is the union of sets $A$, $B$, and $C$?
2. How would you write the intersection of just $A$ and $B$ mathematically?
3. Which elements belong only to set $C$ but not to sets $A$ or $B$?
4. How can you express the set difference $A - B$?
5. How does the Venn diagram change if we add another set, say $D$?

Tip: When constructing Venn diagrams, it's helpful to first find the intersections and then place the unique elements in their appropriate sections.