Question: Define a transitive relation.
Solution:
A relation R on a set A is said to be transitive iff
$(a, b) \in R$ and $(b, c) \in R$
$\Rightarrow(a, c) \in R$ for all $a, b, c \in R$
i. e. $a R b$ and $b R c$
$\Rightarrow a R c$ for all $a, b, c \in R$
