https://math.stackexchange.com/questions/2196858/what-does-a-transitive-set-exactly-imply
Set Relations:
Reflexive
E.g.1 { (1,1),(2,2),(3,3),(4,4) }
E.g.2 { (3,3),(4,4),(5,5) }
Everybody talks to itself.
*Reflexive is always transitive
Symmetric
E.g.1 { (1,2),(2,1) } , if (1,2) then (2,1) must exist.
E.g.2 { (1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3) }
For (1,2,3) multiple (1,2,3):

Transitive
As (a,b) โ R and (b,c) โ R , then (a,c) โ R.

