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Math Help - Cartesian products of Sets

  1. #1
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    Question Cartesian products of Sets

    For A={ the empty set , {the empty set}}. Determine A X P(A)
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  2. #2
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    Quote Originally Posted by nikie1o2 View Post
    For A={ the empty set , {the empty set}}. Determine A X P(A)
     A = \{\emptyset, \{\emptyset\}\}

     P(A) is the set of all subsets. Find this first:

     P(A) = \{A, \emptyset, \{\{\emptyset\}\}, \{\emptyset\}\} = \{\{\emptyset, \{\emptyset\}\}, \emptyset, \{\{\emptyset\}\}, \{\emptyset\}\}

    Then  A \times P(A) is a set of all combinations of ordered pairs  (x,y) such that  x \in A and  y \in P(A)
    Last edited by Mush; January 27th 2009 at 02:41 PM.
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