## No-data 2 years ago Is this true or false? \[\emptyset \subset \emptyset \]

1. No-data

I know that the empty set is a subset of every set but I'm not sure if its a subset of itself.

It is a subset of itself because a subset of finite set also contains that set.

3. wio

It depends if you mean just subset and proper subset. One allows the set to be a subset of itself, and the other doesn't.

4. wio

This is really a matter of semantics, since there are notational inconsistencies regarding \( \subset\) and \( \subseteq \)

5. No-data

I mean proper subset. I think its false.

6. No-data

but considering just a subset is TRUE.

It is false for a proper subset, but it is a subset.