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Subtracting cartesian products

  1. Nov 19, 2012 #1
    1. The problem statement, all variables and given/known data

    Let A = {1, 2}, B = {3, 4}, C = {3}

    What is (A x B) - (B x C)?

    2. Relevant equations



    3. The attempt at a solution

    (A x B) - (B x C) = {(1, 3), (1, 4), (2, 3), (2, 4)} - {(3, 3), (4, 3)}
    = {(1, 3), (1, 4), (2, 3), (2, 4)}

    Since there where no elements in (B x C) that matched any elements in (A x B), I just kept the final answer equal to (A x B).

    Would this be the correct way to do this?
     
  2. jcsd
  3. Nov 20, 2012 #2

    SammyS

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    That looks fine to me.
     
  4. Nov 20, 2012 #3
    Okay, thanks for the help!
     
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