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About sets

  1. May 21, 2014 #1
    1. The problem statement, all variables and given/known data
    Find B and C such that
    [tex]\emptyset \in C[/tex]
    [tex]B \in C[/tex]
    [tex]B \subset C[/tex]
    3. The attempt at a solution
    [tex]B=\emptyset[/tex]
    [tex]C=\{B\}[/tex]
    It just does not look right. Any feedback?
     
  2. jcsd
  3. May 21, 2014 #2

    Fredrik

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    Staff Emeritus
    Science Advisor
    Gold Member

    Looks good. B is clearly an element of C, and since ##B=\varnothing##, this means that ##\varnothing## is an element of C. The subsets of C are ##\varnothing## and ##C##. Since ##B=\varnothing##, this means that B is a subset of C.
     
    Last edited: May 21, 2014
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