Determine whether the given relation is reflexive, symmetric, transitive, or none of these. R is the ”greater than or equal to” relation on the set of real numbers: For all x, y ∈ R , xRy ⇐⇒ x ≥ y
The Answer to the Question
is below this banner.
Here's the Solution to this Question
Since for any , then and the relation is reflexive.
Let the conditions and then and . This is only possible if . But then the condition is not met. So, relation isn't symmetric.
Let and . Then and . But then . So, and relation is transitive.
Answer: relation is reflexive, relation isn't symmetric, relation is transitive.