Symmetric difference of relationships

  • Thread starter nicnicman
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  • #1
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Homework Statement


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


Homework Equations





The Attempt at a Solution



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

Is this correct?
 

Answers and Replies

  • #2
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3,298
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.
 
  • #3
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Actually, I defined it as (R1 - R2) ∪ (R2 - R1). How's that?
 
  • #4
22,129
3,298
Actually, I defined it as (R1 - R2) ∪ (R2 - R1). How's that?

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!
 
  • #5
136
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Yeah, that would probably help me understand it better. Thanks.
 

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