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Symmetric difference of relationships

  1. Dec 17, 2012 #1
    1. The problem statement, all variables and given/known data
    2. Let R1 = {(1,1),(1,2),(2,3),(3.4), (2,4) } and
    R2 = {(1,1),(2,2),(2,3),(3,3),(3,4) } be relations from {1,2,3} to {1,2,3,4}

    R1⨁ R2


    2. Relevant equations



    3. The attempt at a solution

    R1⨁ R2 = {(1,2), (2,2), (2, 4), (3,3)}

    Is this correct?
     
  2. jcsd
  3. Dec 17, 2012 #2

    micromass

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    If you defined

    [tex]R_1\oplus R_2 = (R_1\cup R_2)\setminus (R_1 \cap R_2)[/tex]

    then your answer is correct.
     
  4. Dec 17, 2012 #3
    Actually, I defined it as (R1 - R2) ∪ (R2 - R1). How's that?
     
  5. Dec 17, 2012 #4

    micromass

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    That's the same thing as what I wrote. Maybe you want to prove it as an exercise. But in any case, your solution is fine!
     
  6. Dec 17, 2012 #5
    Yeah, that would probably help me understand it better. Thanks.
     
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