Question: et A = {1,2,3,4,5}{1,2,3,4,5). Let R be relation on A defined by letting (a,b) R(c,d) if and only if a = c (mod 3)

et A = {1,2,3,4,5}{1,2,3,4,5). Let R be relation on A defined by

et A = {1,2,3,4,5}{1,2,3,4,5). Let R be relation on A defined by letting (a,b) R(c,d) if and only if a = c (mod 3) and b = d (mod ). Prove that R is an equivalence relation. Write down all the distinct equivalence classes of R.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A sweatshirt supplier is trying to decide how many sweatshirts to print for the upcoming WNBA basketball championships. The final four teams have emerged from the quarterfinal round, and there is now...

Rate Eartied (9) Liabilities and Equity 0 10,000 Demand deposits NOW accounts 4 7.000 10.000 12.000 90.000 10000 Cash Investment securities Repurchase aggrements Loans less allowance for losses Fixed...

Fill out the following Form 8949 Note: This problem is for the 2018 tax year. Beth R. Jordan lives at 2322 Skyview Road, Mesa, AZ 85201. She is a tax accountant with Mesa Manufacturing Company, 1203...

This is my assignment The questions in this problem refer to the following game: Player 2 a. Determine if either player has any dominated strategies. If so. identify them. b. Does either player have...

Let X = {1, 2, 3, 4 }. Consider the relation R on X, R = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4) }. Which of the following statements about R is TRUE? Select one: O a. R is reflexive and...

Question 51 C In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean Test Score Number of ninth graders (Frequency) Glenwood 81 262...

E M R 1 DAY Ingredients A 1 2 3 4 5 square 0 0 C sum of each batch 0 0 0 0 0 sq of Day1 D D D D D sqof Day2 sqof Day3 D D D 0 0 0 0 0 D 0 sg of Day4 sqof Day5 0 0 0 0 0 0 O 0 0 0 0 D 0 E 0 0 0 0 0 0...

I have an assignment for Finance Management: Payback Periods, Net Present Value, Internal rate of return , NPV, Equivalent Annual Annuity, Estimation CF, Capital Rationing. Please see excel...

I am working on my project but I am so confused, and I am not sure if I am on the right track. Can you plz show me how to do it? Project Instructions ...Complete independence does not mean arrogant...

me. u are receiving this than a 60%, you wi ompleted one week me that you loans lem ber AP PHYSICS C: EVERYTHING WORKS IF YOU LET IT You are riding on a Ferris wheel that is rotating at constant...

Each solution to a phase plane system moves at a constant speed along its trajectory.

8. The correct order of acidity among the following compound is: H Me (1) (a) I>II>III H (II) H NIH (III) (b) III>II>I (c) II>I>III (d) II > III>I

where must information about surrender charges and fees appear in an annuity contract, according to California law?

1. Do something to get 3 ICMP in terminal 2.Explain in detail about the process of giving mac addres on a device !

1. Mention 5 of google IP address. 2. Explain the different between FTP and Samba 3. Explain the different between FTP and SFTP 4. Explain the different between HTTP and HTTPS

1. give 3 examples for each layer from OSI LAYER 2. in which layer of Osi layer network header adde ?

You are the operations manager for a manufacturing company that makes a medical device. Business has been growing tremendously and after exhaustive research you discover new technology that has...

Discuss with technical and academic criteria, the following statement: "Ultimately, and as common sense teaches us, to create economic value you must generate more cash flows and / or reduce the...

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

(Indirect SCF) Seneca Corporation has contracted with you to prepare a statement of cash flows. The controller has provided the following information. Instructions (a) Use the indirect method to...

(Analysis of Improper SCF) The following statement was prepared by Abriendo Corporations accountant. Instructions (a) In general, what are the objectives of a statement of the type shown above for...

(SCF Theory and Analysis of Improper SCF) Gloria Estefan and Flaco Jimenez are examin- ing the following statement of cash flows for Tropical Clothing Store's first year of operations. Gloria claims...