Is the relation reflexive, symmetric, transitive

  • Thread starter iHeartof12
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  • #1
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Indicate which of the following relations on the given sets are reflexive on a given set, which are symmetric and which are transitive.

{(x,y)[itex]\in[/itex][itex]ZxZ[/itex]: x+y=10}

Tell me if I'm thinking about this correctly

It is not reflexive because the only 5R5.
It is symmetric because any xRy and yRx where x+y=10.
It is not transitive because any xRy and yRx, x is not related to x.
 

Answers and Replies

  • #2
312
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all correct
 
  • #3
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thank you
 

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