Problem

Let $A=\{4,6,8,10,12\}$.
Insert $\subseteq$ or $\nsubseteq$ to make the given statement true.
$\varnothing$ A
Choose the correct answer below that makes a true statement.
\[
\varnothing \square\{4,6,8,10,12\}
\]

Answer

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Answer

Final Answer: $\boxed{\varnothing \subseteq \{4,6,8,10,12\}}$

Steps

Step 1 :Let $A=\{4,6,8,10,12\}$.

Step 2 :Insert $\subseteq$ or $\nsubseteq$ to make the given statement true.

Step 3 :$\varnothing$ A

Step 4 :The question is asking whether the empty set is a subset of the set A.

Step 5 :By definition, the empty set is a subset of every set.

Step 6 :Therefore, the correct symbol to insert is $\subseteq$.

Step 7 :Final Answer: $\boxed{\varnothing \subseteq \{4,6,8,10,12\}}$

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