Question

Difference between reflexive symmetric and transitive relations

Answer 1

Hey!!

A relation is reflexive if, for all a, a is "related" to a (aRa is true). A relation is symmetric if, whenever aRb, then bRa (so ≤ is not symmetric because if a≤b it does not follow that b≤a, but equality is symmetric).

Answer 2

A relation is reflexive if, for all a, a is "related" to a (aRa is true). A relation is symmetric if, whenever aRb, then bRa (so ≤ is not symmetric because if a≤b it does not follow that b≤a, but equality is symmetric).A reflexive relation is a binary relation on a set for which every element is related to itself. As you can clearly see ( 0 , 0 ) , ( 1 , 1 ) etc. are not contained in your relation, so it is not reflexive. A relation is symmetric if a R b ⟹ b R a .