Let A = {2, 3, 5, 6, 7, 8} and B = {1, 5, 8}. Indicate if each statement is true or false.

Let's evaluate each statement given sets \( A = \{2, 3, 5, 6, 7, 8\} \) and \( B = \{1, 5, 8\} \):

1. **\( 5 \in A \)**: True.  
   - The number 5 is an element of set \( A \).

2. **\( 1 \in B \)**: True.  
   - The number 1 is an element of set \( B \).

3. **\( 8 \in A \cap B \)**: True.  
   - The number 8 is an element of both sets \( A \) and \( B \), so it belongs to their intersection \( A \cap B \).

4. **\( 3 \in B \)**: False.  
   - The number 3 is not an element of set \( B \).

5. **\( A \subset B \)**: False.  
   - Set \( A \) is not a subset of set \( B \) because \( A \) contains elements (e.g., 2, 3, 6, 7) that are not in \( B \).

If you have any questions or need further details, feel free to ask!

Here are five related questions to explore further:
1. What is the union of sets \( A \) and \( B \)?
2. What is the difference \( A - B \)?
3. If \( C = \{2, 3\} \), is \( C \subseteq A \)?
4. How many elements are in the intersection \( A \cap B \)?
5. What is the complement of \( A \) relative to the universal set \( U \) if \( U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \)?

**Tip**: When determining if one set is a subset of another, ensure every element in the first set is also in the second set.

Explore set theory by evaluating statements involving sets A = {2, 3, 5, 6, 7, 8} and B = {1, 5, 8}. Learn about set membership, intersections, and subsets with detailed explanations and examples. Suitable for high school students and anyone interested in foundational mathematical concepts.

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