How come 2) is transitive and not 1)
1) R_1 = (1,1) (1,2) (2,1)
2) R_2 = (2,1) (3,1) (3,2) (4,1) (4,2) (4,3)
Definition of transitive relation states that for every(a,b,c) belongs to R
(a,b)belongs to R AND (b,a)belongs to R then (a,c) belongs to R.
So how come 1) is NOT transitive and 2) IS transitive?
Can anyone clarify my doubt!?
Thank you.