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.