https://file.aiquickdraw.com/mathbot/file/1726917863846g113efl1.jpg

The problem asks to determine the set notation representing the shaded regions in the Venn diagrams for each figure (a) through (f).

I'll provide the answers for each diagram based on the set shading:

### (a)
The shaded area covers the intersection between set \( A \) and set \( B \), but not set \( C \).
- **Set notation**: \( A \cap B \)

### (b)
The shaded area is the intersection of all three sets \( A \), \( B \), and \( C \).
- **Set notation**: \( A \cap B \cap C \)

### (c)
The shading includes everything inside sets \( A \), \( B \), and \( C \) together.
- **Set notation**: \( A \cup B \cup C \)

### (d)
The shaded area includes the parts of \( A \) and \( B \) but excludes the intersection of \( C \). This represents the union of \( A \) and \( B \), excluding \( C \).
- **Set notation**: \( (A \cup B) \setminus C \)

### (e)
Only the intersection between all three sets is shaded.
- **Set notation**: \( A \cap B \cap C \)

### (f)
The shaded area includes everything except the intersection of all three sets. This is the complement of the intersection.
- **Set notation**: \( (A \cup B \cup C) \setminus (A \cap B \cap C) \)

Let me know if you'd like more details on any specific diagram!

### Questions:
1. What is the complement of a set in set theory?
2. How would you represent the union of two sets in set notation?
3. Can you describe how an intersection differs from a union?
4. How does the diagram (e) differ from diagram (b) in terms of set relationships?
5. How would you express the symmetric difference between two sets?

### Tip:
When working with Venn diagrams, always start by identifying the regions represented by the overlaps and separate sections of each set. This helps you better understand complex set relationships.

Nyatakanlah himpunan daerah yang diarsir pada diagram Venn di bawah ini.

Identify and represent shaded regions in Venn diagrams using set notation. This problem covers key set theory concepts including union, intersection, and set difference, and is suitable for students in Grades 9-12.

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