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