Question

Let N be the set of all natural number and R be the relation in N×N defined by (a,b) R (c,d) at a+b=b+c, show that R is an equivalence relation​

Answer 1

Answer ÷

Let N denote the set of all-natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad(b + c) = bc(a + d), then R is. ∴ R is transitive. Hence R is an equivalence relation.

Let N denote the set of all-natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad(b + c) = bc(a + d), then R is. ∴ R is transitive. Hence R is an equivalence relation.