# Is this relation really transitive?

$$A=\{(0,0),(0,1),(1,0),(1,1),(0,2),(2,0),(2,2)\}$$

Hi guys can somebody tell me why this relation is not transitive? I know that is reflexive and symmetric and also thought that is transitive but my Math-Script say no!

Thanks in advance:)

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## 1 Answer

Hint: $(1,0)$ and $(0,2)$ are in the relation.

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So what does it mean ? –  Tiro Dec 15 '12 at 0:50
@Tiro: If $(1,0)$ and $(0,2)$ are in $A$, and $A$ is transitive, what ordered pair has to belong to $A$? –  Brian M. Scott Dec 15 '12 at 0:51
+1 Asaf, I think this puts you precisely at 60k –  amWhy Dec 15 '12 at 0:58
@amWhy: Neat! :-D –  Asaf Karagila Dec 15 '12 at 1:01
Thank you guys ! –  Tiro Dec 15 '12 at 1:16