Question: Given: R = {(x, y) | x N, y N and x + y is an odd number } Prove or disprove that R is

Given: R = {(x, y) | x N, y N and x + y is an odd number}

Prove or disprove that R is an equivalence relation.

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 Databases Questions!

Q:

3. (20 marks) Define a relation ~ on N whereby a ~ b if and only if there exists k E Z such that 1 = 2k. (a) (9 marks) Prove that ~ is an equivalence relation. (b) (5 marks) Write out the equivalence...

Q:

MAT1325 : Homework #2 Prof : Monica Nevins Due Thursday, February 4, 2016 by 9pm at the Department of Mathematics and Statistics (KED) Staplers are not available at the Department. Instructions : sh...

Q:

I need the answers or instructions on how to get the answers for all of problem three and the unfinished part of problem 4. This class is financial modeling, must use the formulas by tagging them to...

Q:

Normal distribution - Examples Example 1 The lengths of the sardines received by a certain cannery is normally distributed with mean 4.62 inches and a standard deviation 0.23 inch. What percentage of...

Q:

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

Q:

\fsh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m Math 280 Strategies of Proof Fall 2007 Class Notes 3.6 Proving Conditional Statements II: Indirect Proofs In Section 3.4, we studied...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

6. Let A = {x E Z |x 2 5a + 2 for some integer a}, B = {y E Z | y = 10!) 3 for some integer b}, and C = {z E Z | z = 106 + 7 for some integer C}. Prove or disprove each of the following statements....

Q:

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

Q:

3 ,,uoh "gram 3 Eww 3 m T mm H a 3 .2 ' m w .,.m.av>v 3. m. @3on we geonwoaoa mm H "with M'nr H E. wads + we A at. ES 0 3.8V WEE 3563 mo wow 23 E m \"9H .3 avgmeMm\" mnemagouom Aggy\"...

Q:

The time response of a second order system is shown in Figure 2. find: 1- Rise time(tr) 2- Settling Time (ts) 3- Damping ratio (5) 4- Natural Frequency (c) 2 N 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.0 0.9...

Q:

The SDMA and Adaptive Antennas Techniques will be used for a variety of purposes in LTE and higher mobile broadband systems. Name three of these purposes.

Q:

What is an aging schedule? Multiple choice question. A schedule of the discount to be given based on the size of each sale A schedule of the discount to be given based on the length of time a...

Q:

The first scenario will be a Verbal Judo scenario in which your scenario follows the standard Verbal Judo interaction: You need to ask somebody to modify their behavior either to do something or to...

Q:

1 Does it surprise you that vacation time is not mandated in the United States but is mandated in most other wealthy nations? Do you think that Americans would be more or less productive if they had...

Q:

Have you ever been involved in a mentoring relationship? If so, did you find that this relationship benefited you in any way? Did it benefit your organization as well? How would you describe the...

Q:

A Do you think that organizations benefit more from having employees work face to face or from having employees work from home? Does it have to be one way or the other?