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].

#SET

141 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].

Akash Girde 7th Nov, 2020

Answer

Answer Later

Report

Answer (1)

Anuj More 7th Nov, 2020

Dear Candidate,

Kindly know that the question you are asking is difficult for us to give you an answer to. You are asking us to prove mathematical statements. We are limited by our answering options. It is difficult for us to prove you mathematical statements. You may search your question on various portals on the internet.

Thanks.

Like Share

Know More About

Symbiosis Entrance Test

Eligibility | Application | Admit Card | Result | Preparation Tips | Exam Pattern | Selection Process

Get Updates

Related Questions

show that each of the relation R in the set A={x belongs to z:0 is less than or equal to x is less than or equal to 12} given by a. R={(a, b):|a-b|is a multiple of 4} b. R={(a, b):a=b}is an equivalence relation.

740 Views

Let M(n, R) denote the set of all n × n matrices over R. Define a relation on M(n, R) as follows: for A, B M(n, R), A B iff there exists an invertible matrix P such that P 1AP = B. Show that is an equivalence relation.

176 Views

Let C = {x + iy|x,y ∈ R,i2= −1}, the set of complex numbers. For z = a+ib ∈ C the modulus of z is |z| = √a2 + b2and the argument of z is arg(z) = tan−1(b/a). Def i ne a relation ∼ on C as; for z1,z2∈ C,z1∼ z2if f |z1| = |z2|. 1. Prove that ∼ is an equivalenece relation.

157 Views

if E1 E2 and E3 are equivalence classes with respect to a relation R in set A then elements of which equivalence classes are related to each other

956 Views

show that the relation R defined in set A = {1,2} as R = {(1,2)} is transitive

944 Views

Applications for Admissions are open.

Amity University-Noida BA Adm...

Apply

Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026

Manav Rachna-MRIIRS B.A Admis...

Apply

Recognized as Category-1 Deemed to be University by UGC | 41,000 + Alumni Imprints Globally | Students from over 20+ countries

Karnavati University | B.A Ad...

Apply

100% Placements Assistance | 1200+ Recruiters

Chandigarh University Admissi...

Apply

NAAC A+ Accredited | Among top 2% Universities Globally (QS World University Rankings 2026)

SRM University, Chennai Scien...

Apply

NAAC A++ Accredited | Ranked #12 by NIRF

Vidyashilp University BA Admi...

Apply

Avail upto 100% Merit Based Scholarships

View All Application Forms

Upcoming Exams

Maharashtra B.Ed Common Entrance Test - (MAH B.ED CET)

Application Date: 8 Jan, 2026 - 24 Feb, 2026

Application Process Admit Card

Sanskriti University National Aptitude Test - (SUNAT)

Application Date: 20 Dec, 2025 - 25 Feb, 2026

National Common Entrance Test - (NCET)

Application Date: 12 Feb, 2026 - 10 Mar, 2026

Application Process Admit Card Answer Key Result

Vivekananda Global University Common Entrance Test - (VGUCET)

Application Date: 27 Feb, 2026 - 27 Feb, 2026

Andhra Pradesh State Education Common Entrance Test - (AP EDCET)

Application Date: 11 Feb, 2026 - 9 Mar, 2026

Result Counselling Process

Trending Articles around SET

You Maybe Interested In

Top Management colleges in India

Top Management colleges in Telangana accepting SET

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