In 34-36, assume that R is a relation on a et A. Prove or disprove each statement.
If R is transitive, then
To prove that if R is transitive, then
Given information:
Assume that R is a relation on a set A and
Proof:
Let us assume that R is transitive and let
By the definition of the inverse relation:
By the definition of transitive (since R is transitive):