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Homework Help: Does anyone know if this is true [itex]A \bigcap B^{c} = \emptyset

  1. Jan 23, 2012 #1
    Does anyone know if this is true [itex]A \bigcap B^{c} = \emptyset \Leftrightarrow A \bigcup B^{c} = U[/itex] ?
     
  2. jcsd
  3. Jan 23, 2012 #2

    PAllen

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    Gold Member

    Re: Sets

    It's obviously false. You should readily be able to find a counter example even for U being a set of cardinality 3.
     
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