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# Set Theory Problem: Is this Transitive? watch

1. From the set A={0,1,2,3,4}

I have to decide if the following set of relations make it transitive..
U: (0,0),(1,1),(2,2),(3,3),(4,4),(0 ,1),(1,0),(1,2),(2,1) .

Now I believe this is transitive as for every (a,b) belonging to R and (b,c) belonging to R, (a,c) must also belong to R.

But the solution sheet says otherwise. Can anyone explain what makes it not transitive? Or am I correct in saying that it is transitive?
2. (0,1) and (1,2) belong to R. Does (0, 2)?
3. (Original post by DFranklin)
(0,1) and (1,2) belong to R. Does (0, 2)?
You're right, it needs to include (0,2) for it to be transitive.
Thankyou.

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Updated: March 30, 2011
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