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anonymous
 3 years ago
Is this true or false?
\[\emptyset \subset \emptyset \]
anonymous
 3 years ago
Is this true or false? \[\emptyset \subset \emptyset \]

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I know that the empty set is a subset of every set but I'm not sure if its a subset of itself.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It is a subset of itself because a subset of finite set also contains that set.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It depends if you mean just subset and proper subset. One allows the set to be a subset of itself, and the other doesn't.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0This is really a matter of semantics, since there are notational inconsistencies regarding \( \subset\) and \( \subseteq \)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I mean proper subset. I think its false.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but considering just a subset is TRUE.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It is false for a proper subset, but it is a subset.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ya its not a proper subset of itself, but it sure is a subset of itself
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