Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Uhm? not transitive?

  1. Mar 17, 2005 #1
    let R be a relation on the set A={0,1,2,3}. If R={(0,0),(0,2),(2,0),(2,2),(2,3),(3,2),(3,3)} why it is not transitive?

    VaVbVc (a,b) in R and (b,c) in R implies (a,c) in R a,b,c in A. (V is the 'for all' symbol)

    so there are

    (0,2) and (2,0) with (0,0)
    (2,0) and (0,2) with (2,2)
    (2,3) and (3,2) with (2,2)
    (3,2) and (2,3) with (3,3)

    How is it not transitive?
  2. jcsd
  3. Mar 17, 2005 #2


    User Avatar
    Science Advisor
    Homework Helper

    You haven't considered all the possibilites. For (0,2) write down all pairs of the form (2,c). You only considered one such pair, there are more. For each of these, check if (0,c) is in your set.
  4. Mar 17, 2005 #3

    Thank you! Me so blind lol. (0,2) and (2,3) but NO (0,3). Ahhhh it makes me mad. :cry: :mad:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook