Given the set $A = \{\{$∅$\},\{2\},2\}$, determine if the following statements are false. If false, then correct the statement to be true
Determine the validity of: $\{$∅$,\{$∅$\}\} ⊆ A$
Knowing that the null set is a subset of all other sets, I don't understand why this expression is false. Clearly ∅ $⊆ A$ by this definition and it also seems like $\{$∅$\} ⊆ A$ since A contains an element which is a set.
For any set A, the empty set is a subset of A:
$\forall A:$ ∅ $\subseteq A$