https://file.aiquickdraw.com/mathbot/file/1730930617841ariligy4.jpg

In the image provided, we have two sets and a question regarding their subset relationship:

1. **Set \( A \)** is defined as \( A = \{ 1, 2 \} \).
2. **Set \( B \)** is defined as \( B = \{ 1 \} \).

The notation \( A \subset B \) is used, which asks whether \( A \) is a subset of \( B \).

### Solution:

For \( A \subset B \) to be true, every element of \( A \) must also be an element of \( B \). 

- The elements of \( A \) are \( \{1, 2\} \).
- The elements of \( B \) are \( \{1\} \).

Since \( 2 \in A \) but \( 2 \notin B \), not all elements of \( A \) are in \( B \). Therefore, \( A \) is **not** a subset of \( B \).

### Conclusion:
The statement \( A \subset B \) is **false** because \( B \) does not contain all elements of \( A \).

Would you like further details on subsets, or do you have any additional questions?

Here are some related questions that might interest you:
1. What is the difference between a subset and a proper subset?
2. How do we determine if two sets are equal?
3. Can \( B \) be a subset of \( A \) in this case?
4. What is the notation for a superset, and how does it differ from a subset?
5. How can we represent the union and intersection of two sets?

**Tip:** When checking if one set is a subset of another, verify that all elements of the first set exist in the second set. If even one element is missing, it’s not a subset.

Is A a subset of B where A = {1, 2} and B = {1}?

Learn how to determine if set A = {1, 2} is a subset of set B = {1} with a detailed solution. This problem explores key concepts in set theory, including subset verification. Suitable for students in Grades 6-8.

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