Knowee
Questions
Features
Study Tools

Let R be a relation on the set N of natural numbers defined by nRm Û n is a factor of m (i.e., n|m). Then R is

Question

Let R be a relation on the set N of natural numbers defined by nRm Û n is a factor of m (i.e., n|m). Then R is
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The relation R is reflexive, antisymmetric and transitive.

  1. Reflexive: A relation R on a set A is said to be reflexive if every element is related to itself. In this case, every natural number n is a factor of itself. Hence, the relation R is reflexive.

  2. Antisymmetric: A relation R on a set A Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  

This problem has been solved

Similar Questions

Let R be the relation on the set Z defined by xRy iff x − y is an integer. Prove that R is anequivalence relation on Z.

Let! 1 2 3 ...n n=     i.e. product of firstn natural numbers. The HCF and LCM of 7! and8! are:

Let R be a relation on the set N≥0 given byR = {(a, b) : (b − a) is divisible by 6}Show that this is an equivalence relation

Consider a relation R=(M, N, O, P, Q) with the dependencies: {M,N ->O; O,P->Q ; P, Q-> N}. The key for relation R is :a.M, N, Ob.M, N, Pc.N, O, Pd.M, N

f A={1,4,5} and the relation R defined on the set A as aRb if a+b < 6 checkwhether the relation R is an equivalence relation

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.