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Math Help - 0 and empty sets

  1. #1
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    0 and empty sets

    I'm having trouble understanding this question:

    Does 0 \in \emptyset? Does \{ \emptyset \} \in \emptyset. Explain Why.

    My answer:

    No for both.

    Let me know if this is correct and also let me know how this works. Im having some trouble understanding it.
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  2. #2
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    Re: 0 and empty sets

    Quote Originally Posted by maclunian View Post
    I'm having trouble understanding this question:
    Does 0 \in \emptyset? Does \{ \emptyset \} \in \emptyset. Explain Why. My answer:
    No for both.
    Let me know if this is correct and also let me know how this works. Im having some trouble understanding it.
    Your answer is correct.
    The \emptyset contains nothing, so 0\notin\emptyset~\&~\{\emptyset\}\notin\emptyset
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