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Expressing sets

  1. Jun 22, 2012 #1
    In the expression of sets: B={X [itex]\in[/itex] A:|X|<3} the expression is saying that B is a set that contains at most 3 sets X that belongs to A, right?

    How do we say, B is a set that contains elements of X that belongs to A, and all X elements contains at most 3 x elements (the cardinality of X is at most 2). For example, B={{1,2},{3}}. And not, B={{1,2,3}}
     
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  3. Jun 22, 2012 #2

    tiny-tim

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    hi xeon123! :smile:
    no, it's saying that B is the collection of all elements of A with less than 3 elements
     
  4. Jun 23, 2012 #3

    haruspex

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    Assuming you meant "B is the set that consists of elements X that belong to A and which contain at most 2 elements" then: B={X [itex]\in[/itex] A:|X|<3}
    Your example works provided that the only elements of A with less than three elements are the two you show.
     
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