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Write a set equivalant to AUC 2. write a set equivalent to AnC

### 1. **Set Equivalent to \( A \cup C \)**:
- \( A \) is defined as the set of natural numbers less than 20 that are divisible by 3:  
  \( A = \{3, 6, 9, 12, 15, 18\} \)
  
- \( C \) is defined as the set of natural numbers less than 20 that are multiples of 6:  
  \( C = \{6, 12, 18\} \)

- The union of \( A \) and \( C \), denoted as \( A \cup C \), includes all elements in either \( A \) or \( C \):  
  \( A \cup C = \{3, 6, 9, 12, 15, 18\} \)

### 2. **Set Equivalent to \( A \cap C \)**:
- The intersection of \( A \) and \( C \), denoted as \( A \cap C \), includes only the elements common to both \( A \) and \( C \):  
  \( A \cap C = \{6, 12, 18\} \)

Let me know if you'd like more details or have any other questions!

### Additional Questions:
1. What would be the union of \( B \) and \( C \) (\( B \cup C \))?
2. What would be the intersection of \( A \) and \( B \) (\( A \cap B \))?
3. What would be the union of all three sets \( A \cup B \cup C \)?
4. What would be the intersection of all three sets \( A \cap B \cap C \)?
5. Can you list the elements of \( A \setminus B \) (elements in \( A \) but not in \( B \))?

### Tip:
When working with unions and intersections of sets, using Venn diagrams is a great way to visualize and identify common elements quickly.

Write a set equivalent to AUC. Write a set equivalent to AnC.

Learn how to determine the union and intersection of sets A and C, where A is the set of natural numbers less than 20 divisible by 3, and C is the set of natural numbers less than 20 that are multiples of 6. This problem helps students understand core set theory concepts. Suitable for students in Grades 6-8.

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