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Pairwise disjoint set proof (help)

  1. Mar 20, 2007 #1
    hello,

    I really dont know how to proceed here, since I dont know very much about sets/family.

    I want to prove that if Ð is a family of pairwise disjoint sets, and Ŧ is a subset of Ð, prove that Ŧ is also a family of pairwise disjoint sets.

    Thanks in advance math gurus

    William
     
  2. jcsd
  3. Mar 20, 2007 #2

    matt grime

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    if x and y are elements of T, then they are elements of D. So what is xny? (n means intersection)
     
  4. Mar 20, 2007 #3
    if x and y are elements of T, then they are elements of D. because T is a subset of D.

    However, xny will be empty set, because they are also elements of D, and D is pairwise disjoint.

    T is also pairwise disjoint.

    Like that?
     
  5. Mar 20, 2007 #4
    Precisely.
     
  6. Mar 20, 2007 #5
    Thanks guys!
     
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