Question

Let R be the relation in the set N given by R = {(a,b)| a = b – 2 , b > 6}
Whether the relation is reflexive or not ? justify your answer.

Answer 1

Step-by-step explanation:

no its not reflexive due to (a,a) doesn't belong to the set R

a= b-2 is the given condition and if we put a = b its not possible ...so we can consider a counter example

let b = 7 as b > 6

then a = b -2

that implies a = 7 - 2 = 5

so the existing relation will be (5,7 )

which is not reflexive