Define a relation R on R, the set of all real numbers as follows: For every
Is R a partial order relation? Prove or give a counterexample.
To check:
Whether
Given information:
Consider a relation
Concept used:
A relation that is reflexive, antisymmetric, and transitive is called a partial order.
Calculation:
Objective is to identify whether the relation is partial order relation or not.
A relation
A relation
Here, the relation
Counterexample