1. The set is defined as $$A = \{ \{\text{x, 1}\}, \{\text{y, 2}\}, \{\text{z, 3}\} \}.$$ 2. To evaluate the truth of each statement, let's analyze each carefully: 3. (Choice A) $$\{\text{x, 1}\} \in A$$: Since $$\{\text{x, 1}\}$$ is explicitly an element of the set $$A$$, this statement is true. 4. (Choice B) $$\text{z} \in A$$: The element $$\text{z}$$ alone is not an element of $$A$$; only sets like $$\{\text{z, 3}\}$$ are elements. So this statement is false. 5. (Choice C) $$\{ \{ \text{y, 2}\}, \{ \text{z, 3}\} \} \subset A$$: The set $$\{ \{ \text{y, 2}\}, \{ \text{z, 3}\} \}$$ has elements $$\{ \text{y, 2} \}$$ and $$\{ \text{z, 3} \}$$, both of which are elements of $$A$$. Therefore, this set is a subset of $$A$$ and the statement is true. 6. (Choice D) $$\{ \text{1, 2, 3} \} \subset A$$: The set $$\{1, 2, 3\}$$ contains numbers but none of these numbers alone are elements of $$A$$, so it is not a subset. This statement is false. Final answers: - True: (A), (C) - False: (B), (D)