Question

What is transitive relations. Give an example

Answer 1

Defining transitive relations.

• A transitive relation is a binary relation in set theory.
• A transitive relation is one in which a relation $R$ on a set $A$ is said to be transitive, if $\left(a,b\right)\in R$ and $(b,c)\in R$, then $(a,c)\in R$, for all $a,b,c\in A$.
  Example: If $A$ is a subset of $B$ and $B$ is a subset of $C$, then $A$ is also a subset of $C$.