Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why? $\{ \{ 3, 4\} \} \subset A$
(N/A) Given the set $A = \{1, 2, \{3, 4\}, 5\}$.
To check if $\{\{3, 4\}\} \subset A$,we must verify if every element of the set $\{\{3, 4\}\}$ is also an element of $A$.
The only element in the set $\{\{3, 4\}\}$ is $\{3, 4\}$.
Since $\{3, 4\} \in A$,it follows that $\{\{3, 4\}\} \subset A$.
Therefore,the statement $\{\{3, 4\}\} \subset A$ is correct.
To check if $\{\{3, 4\}\} \subset A$,we must verify if every element of the set $\{\{3, 4\}\}$ is also an element of $A$.
The only element in the set $\{\{3, 4\}\}$ is $\{3, 4\}$.
Since $\{3, 4\} \in A$,it follows that $\{\{3, 4\}\} \subset A$.
Therefore,the statement $\{\{3, 4\}\} \subset A$ is correct.
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