4
$\begingroup$

I have

$$R = \{(1,1),(1,2),(1,3),(1,4),(2,2),(2,3),(3,4),(4,1),(3,1),(2,1),(4,4),(4,2),(3,2),(4,3)\}$$

Is this relation transitive? I think since $(2,1), (1,4) \in R$ to be transitive $(2,4) \in R$ since $(2,4) \notin R$, $R$ is not transitive.

$\endgroup$
  • $\begingroup$ It looks like you meant transitive rather than reflexive. $\endgroup$ – N. F. Taussig Sep 22 '15 at 10:19
  • $\begingroup$ @N.F.Taussig lol .. yeah.Noticed that just now before reading your comment. $\endgroup$ – techno Sep 22 '15 at 10:19
3
$\begingroup$

You are right. $(2,1)\in R$ and $(1,4)\in R$, but $(2,4)\not\in R$. Therefore, $R$ is not transitive.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.