It sounds like you're looking for a way to shade the region representing C ∪ (A ∩ B) in a three-set Venn diagram. Let's break down the notation and figure out which parts to shade:

• A ∩ B: This is the intersection of sets A and B. It represents the area where both sets A and B overlap.
• C ∪ (A ∩ B): This means we want to shade the union of set C with the intersection of sets A and B. So, we will shade everything in set C plus everything in the overlapping region of A and B.

To shade this correctly:

1. First, identify the area of A ∩ B (the overlap between A and B).
2. Then, shade all of set C.
3. The final shading will include all of C as well as the overlap between A and B.

If you would like a detailed visual representation of the shading on a Venn diagram, I can generate that for you.

Would you like me to create a visual of this? Feel free to upload or ask for more details!

Here are 5 related questions to expand your understanding:

1. What does the intersection A ∩ B ∩ C represent in a Venn diagram?
2. How would you shade (A ∪ B) ∩ C in a three-set Venn diagram?
3. What is the meaning of (A ∩ B ∩ C)’ (complement of the intersection of A, B, and C)?
4. How does a union operation differ from an intersection operation in set theory?
5. Can you describe how to represent A ∩ (B ∪ C) in a Venn diagram?

Tip: In Venn diagrams, remember that union means "either or both" while intersection means "both at the same time."