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Set operations

  1. Nov 17, 2012 #1
    Here's the problem:
    Suppose U = {x | -10 ≤ x ≤ 10 and x ∈ Z}, A = all multiples of 2, B = all multiples of 3, and C = {-10, -9, -8, -6, -4, 0, 1, 3, 5, 6, 8, 10}.

    Find C - (A-B).

    Solution:
    A = {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
    B = {-9, -6, -3, 0, 3, 6, 9}
    C = {-10, -9, -8, -6, -4, 0, 1, 3, 5, 6, 8, 10}

    C - (A-B) = C - {-10, -8, -4, -2, 2, 4, 8, 10}
    = {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10} - {-10, -8, -4, -2, 2, 4, 8, 10}
    = {-9, -6, 0, 1, 3, 5, 6}

    Does this look right? Thanks for any suggestions!
     
  2. jcsd
  3. Nov 18, 2012 #2

    SammyS

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    Looks right to me.
     
  4. Nov 18, 2012 #3
    Okay, thanks for the help!
     
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