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) ∈ R** and **(b,c) ∈ R** , then **(a,c) ∈ R.**