Home
Class 12
MATHS
Show that the relation R in the set of a...

Show that the relation R in the set of all natural number, N defined by is an `R = {(a , b) : |a - b| "is even"}` in an equivalence relation.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the relation R in the set of all integers, Z defined by R = {(a, b) : 2 "divides" a - b} is an equivalence relation.

Show that the relation R in the set A = {1, 2, 3, 4, 5,6,7} given by R = {(a , b) : |a - b| " is even" } , is an equivalence relation.

Prove that the relation R on the set Z of all integers defined by R={(a, b):a-b is divisible by n} is an equivalence relation.

Let R be the relation on the set N of natural numbers defined by a + 3b = 12. Find : R.

Show thaT the relation R in the set of all integers Z defined by R{(a,b) : 2 divides a-b} is an equivalence relation.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find R.

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is