A transitive and connected relation is a negative transitive?
A negative transitive and asymmetric relation is transitive?
Is this correct for 2?
Assume that R be transitive and connected relation but is not a transitive
(if $(a,b) \in R$ and $(b,c)\in R$ we have not $(a,c)\in R$).
So for every a,b:
$(a,b) \notin R$ from connected $(b,a)\in R$,
$(b,c) \notin R$ from connected $(c,b)\in R$.
From above and transitive we have $(c,a)\in R$ . what should I do next?
How can I show 1 is true?