(adsbygoogle = window.adsbygoogle || []).push({}); Question about "element of" and "subset" symbols

I've always thought that ∈ is defined when talking about elements in a set. For example, if A is a set and x is an element, then x ∈ A is defined. It wouldn't make sense to say x [itex]\subseteq[/itex] A

In the same way, if A and B are sets and A is contained in B, then it is incorrect to say A ∈ B. We should use A[itex]\subseteq[/itex] B.

Question is: say a set which contains the empty set: {Ø}

I would think we should write Ø [itex]\subseteq[/itex] {Ø} because Ø is a set itself.

But at the same time Ø ∈ {Ø} looks like it could also make sense... I am slightly confused.

Can anyone shed some light on the matter? Thank you very much.

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# Question about element of and subset symbols

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