Question

For any set A, is A subseteq A? (Hint: Try a few simple cases.) ???

@.@

Answer 1

There's nothing even to prove... Of course A = A.

Answer 2

Therefore \(A \subseteq A\)

Answer 3

oh.. okay. got it. thank you

Answer 4

\(A \subset B\) if and only if for every \(x \in A\) we have that \(x \in B\).

If \(A = B\) then clearly if \(x \in A\) then \(x \in A = B\)