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Homework Help: Is the relation reflexive, symmetric, transitive

  1. Mar 24, 2012 #1
    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.
  2. jcsd
  3. Mar 24, 2012 #2
    all correct
  4. Mar 24, 2012 #3
    thank you
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