Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 3} \subset A$
${1, 2, 3} \subset A$
(A) Given the set $A = \{1, 2, \{3, 4\}, 5\}$.
The statement $\{1, 2, 3\} \subset A$ is incorrect.
Reason: For a set to be a subset of $A$,every element of the set must be an element of $A$.
In the set $\{1, 2, 3\}$,the elements are $1, 2,$ and $3$.
While $1 \in A$ and $2 \in A$,the element $3$ is not an element of $A$ (only the set $\{3, 4\}$ is an element of $A$).
Therefore,$\{1, 2, 3\} \not\subset A$.
The statement $\{1, 2, 3\} \subset A$ is incorrect.
Reason: For a set to be a subset of $A$,every element of the set must be an element of $A$.
In the set $\{1, 2, 3\}$,the elements are $1, 2,$ and $3$.
While $1 \in A$ and $2 \in A$,the element $3$ is not an element of $A$ (only the set $\{3, 4\}$ is an element of $A$).
Therefore,$\{1, 2, 3\} \not\subset A$.
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