For x, y R define x y to mean that x y Z. 1. Prove that is an equivalence relation on R. 2. List three real numbers x such that x 2.

107 Views

For x, y R define x y to mean that x y Z. 1. Prove that is an equivalence relation on R. 2. List three real numbers x such that x 2.

Akash Girde 7th Nov, 2020

Answer

Answer Later

Report

Answer (1)

Anuj More 8th Nov, 2020

Dear candidate,

Due to the constraints on us, we can not answer your query. We are limited by our answering options. You may search the internet for the answer on various portals. You will find the answer for the same. Due to this being a mathematical proof, it is difficult for us to give you answer.

Hope you understand. Thanks.

Like Share

Related Questions

Problem 1.4. For x,y ∈ R def i ne x ∼ y to mean that x − y ∈ Z. 1)Prove that ∼ is an equivalence relation on R. 2)List three real numbers x such that x ∼ √2.

124 Views

For a, b belongs to R define xRy to mean that x-y belongs to Z. (1) Prove that Relation is an equivalence relation on R. (2) List three real numbers x such that x related to square root 2

87 Views

For x, y R define x y to mean that |x| = |y|. Prove that is an equivalence relation in R. Describe [0], [5], and [5].

136 Views

Let X = R. For n Z, let An = {x R : n x < n + 1} = [n, n + 1). 1. Prove that P = {An : n Z} is a partition of R. 2. Define an equivalence relation on R for which equivalence classes are {An; n Z}.

34 Views

For x,y ∈ R def i ne x ∼ y to mean that |x| = |y|. Prove that ∼ is an equivalence relation in R. Describe [0],[5], and [−5].

365 Views

Applications for Admissions are open.

Chandigarh University Admissi...

Apply

Ranked #1 Among all Private Indian Universities in QS Asia Rankings 2025 | Scholarships worth 210 CR

Indrashil University | B.Tech...

Apply

Apply for B.Tech | AICTE Aproved | UGC Recognized | International Collaborations for Global Edge | 100% Placement Assistance

Amity University Noida B.Tech...

Apply

Among Top 30 National Universities for Engineering (NIRF 2024) | 30+ Specializations | AI Powered Learning & State-of-the-Art Facilities

Amity University Noida MBA Ad...

Apply

Amongst top 3% universities globally (QS Rankings)

Amity University, Noida Law A...

Apply

700+ Campus placements at top national and global law firms, corporates, and judiciaries

DES Pune University B.Tech Ad...

Apply

Ranked 10th among Emerging Engineering Institutes in India by Times

View All Application Forms

Trending Articles/News

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students

30,000+ Colleges

500+ Exams

1500+ E-books