For Real numbers x and y, we write x R y ⇒ x - y + 2 is an irrational number. Then the relation R is

For any x ∈ R, we have x - x + 2 = 2 an irrational number⇒xRx for all x. So, R is reflexive.R is not symmetric, because 2R1 but 1 R 2, R is not transitive also because 2R1 and 1R22 but 2R 22.