R = {(a,a),(a,c),(a,d),(b,b),(b,a),(c,c),(c,b),(c,d),(d,e),(e,a)}
I believe it is transitive however in the answer sheet I have it says it is not.
I'm following the idea that if R(a,b) and R(b,c) then if R(a,c) it is transitive.
I have tried this with respect to the above:
There is R(a,c) & R(c,d). There is also (a,d). Would this not mean that it is transitive? Thanks
Yes, that would mean that the relation is transitive, but it would have to hold for every possible duo of pairs. For instance, note that $R(c,d)$ and $R(d,e)$, but $\not R(c,e)$. Therefore the relation is not transitive.