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

140 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.

738 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

66 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

951 Views

Applications for Admissions are open.

Amity University BA Admission...

Apply

Amongst top 3% universities globally (QS Rankings) | Ranked as India’s #1 Not for profit pvt. University by India Today

Graphic Era (Deemed to be Uni...

Apply

NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed

UPES Dehradun BA Admissions 2025

Apply

Ranked #46 amongst Universities in India by NIRF | 1900+ Students Placed | 94% Placement | 633+ Recruiters | Last Date to Apply: 15th July

Galgotias University | Admiss...

Apply

25+ years of legacy | NAAC A+ Grade | 800+ Recruiters | 1.5 CR-Highest Package

Jigyasa University BA Admissi...

Apply

200+ Recruiters

Manav Rachna-MRIIRS B.A Admis...

Apply

NAAC A++ Grade | 41000+ Alumni network | Students from over 20 countries

View All Application Forms

Upcoming Exams

Assam Agricultural University Common Entrance Test - (AAU CET)

Application Date: 8 Jul, 2025 - 10 Jul, 2025

Kalinga Institute Of Industrial Technology Entrance Examination - (KIITEE)

Exam Date: 6 Jul, 2025 - 8 Jul, 2025

Application Process Admit Card Result Counselling Process Eligibility Criteria Exam Pattern Cutoff

Nin Common Entrance Test - (N-CET)

Result Date: 14 Jul, 2025 - 14 Jul, 2025

Rammanohar Lohia Avadh University Entrance Exam - (RMLAU ENTRANCE EXAM)

Application Date: 1 May, 2025 - 15 Jul, 2025

Admit Card Result

Svu Entrance Test - (SVUET)

Application Date: 16 Jul, 2025 - 15 Aug, 2025

Trending Articles around SET

You Maybe Interested In

Management colleges in India

Management colleges in India accepting SET

Management colleges in Pune accepting SET

Management colleges in Kompally accepting SET

Management colleges in Maharashtra accepting SET

Management colleges in Telangana accepting SET

Top Management colleges in India

Top Management colleges in India accepting SET

Top Management colleges in Pune accepting SET

Top Management colleges in Kompally accepting SET

Top Management colleges in Maharashtra accepting SET

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