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No-data

  • 3 years ago

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

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  1. No-data
    • 3 years ago
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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.

  2. ayushprasad
    • 3 years ago
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    It is a subset of itself because a subset of finite set also contains that set.

  3. wio
    • 3 years ago
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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.

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

  5. No-data
    • 3 years ago
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    I mean proper subset. I think its false.

  6. No-data
    • 3 years ago
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    but considering just a subset is TRUE.

  7. ayushprasad
    • 3 years ago
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    It is false for a proper subset, but it is a subset.

  8. ShikhaDessai
    • 3 years ago
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    ya its not a proper subset of itself, but it sure is a subset of itself

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