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No-data Group Title

Is this true or false? \[\emptyset \subset \emptyset \]

  • one year ago
  • one year ago

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  1. No-data Group Title
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    I know that the empty set is a subset of every set but I'm not sure if its a subset of itself.

    • one year ago
  2. ayushprasad Group Title
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    It is a subset of itself because a subset of finite set also contains that set.

    • one year ago
  3. wio Group Title
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    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.

    • one year ago
  4. wio Group Title
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    This is really a matter of semantics, since there are notational inconsistencies regarding \( \subset\) and \( \subseteq \)

    • one year ago
  5. No-data Group Title
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    I mean proper subset. I think its false.

    • one year ago
  6. No-data Group Title
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    but considering just a subset is TRUE.

    • one year ago
  7. ayushprasad Group Title
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    It is false for a proper subset, but it is a subset.

    • one year ago
  8. ShikhaDessai Group Title
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    ya its not a proper subset of itself, but it sure is a subset of itself

    • one year ago
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