U= { 4​, 5​, 6​, 7​, 8​, 9​, 10 ​}, A​ = { 5​, 6​, 9​, 10 ​}. set A

The set \( A \) is defined as \( A = \{ 5, 6, 9, 10 \} \).

Since this is a subset of the universal set \( U = \{ 4, 5, 6, 7, 8, 9, 10 \} \), we can confirm that each element in set \( A \) is also present in \( U \).

### Would you like to explore more about set theory, or do you have specific questions about this set?

Here are some related questions to consider:

1. What is the complement of set \( A \) in \( U \)?
2. How do you find the union of sets \( A \) and \( B \) if \( B \) is given?
3. What is the intersection of sets \( A \) and \( B \) if \( B \) is given?
4. How do you determine if one set is a proper subset of another?
5. How can you represent these sets using a Venn diagram?

**Tip:** When working with sets, it's helpful to visualize them using Venn diagrams to better understand the relationships between them.

Explore the subset relation in set theory with a focus on set A and its inclusion within the universal set U. Learn how to identify subsets and visualize them using Venn diagrams. Suitable for Grades 7-9 students studying set theory.

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