Question: For the relation on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is anti-symmetric, and whether

For the relation on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is anti-symmetric, and whether it is transitive. In order to get full credits: For example, if it’s not reflexive, you must state why it is not.

{(1, 1), (1, 2), (2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4), (4,4)}

Reflexive:

Symmetric:

Anti-symmetric:

Transitive:

Step by Step Solution

★★★★★

3.47 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To decide whether the given relation is reflexive symmetric antisymmetric or transitive lets analyze ... View full answer

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!

The CEO of a music startup is trying to determine the amount of capital they would have to raise in the first five years of the company in order to be successful. The CEO has outlined the following...

Decide whether it is possible for a line to have the indicated number of x-intercepts. If it is possible, find an equation of such a line. If it is not possible, explain why not. a. no x-intercepts...

Decide whether it is possible for a line to have the indicated number of y-intercepts. If it is possible, find an equation of such a line. If it is not possible, explain why not. a. no y-intercepts...

Determine CPI, ETC (1), and EAC. Activity Total PV 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 6 6 2 20 10 10 3 30 9 6 6 6 3 4 20 8 2 5 5 5 16 4 4 4 4 6 18 9 9 7 8 4 4 Status Report: Ending Period 5 Task %...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

\fThis is an electronic version of the print textbook. Due to electronic rights restrictions, some third party content may be suppressed. Editorial review has deemed that any suppressed content does...

CAN SOME PLEASE HELP WITH THIS...THANKS! CSC 142 Music Player Please submit either a .zip or .jar file. You will complete this project by implementing one class. Afterwards, your program will play...

4 week 12-week 14 Student Full Name:___________________________________ . Student ID:__________________________________________ . CRN No:____________________________________________ . Branch:...

Given below are relations on the set S times S, where S = {1, 2, 3, 4}. Choose the properties of each relation. A. {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} symmetric antisymmetric reflexive...

. Create a directory to hold assignment 5. Copy equiv.h and equiv.cpp from Assignment 4 into that directory. Put all of the files for this assignment in that directory. 2. Create a file called...

Hudson: Lisa: Fred: Jake: We've made a lot of progress researching various ERP vendors. However, ERP software for car dealerships is still fairly expensive for a small dealership like ours. Combine...

Given the project information in the following table, what is the probability of completing the National Holiday Toy project in 100-time units? Hint: Use the =NORM.S.DIST(z. TRUE) function in Excel...

Indicate which of the following activities create a positive externality, a negative externality, or no externality at all: a. During a live theater performance, an audience members cell phone loudly...

Crane Corporation provides the following information about its defined benefit pension plan for the year 2 0 2 3 : \ table [ [ Current service cost,$ 2 2 5 , 2 0 0 ] , [ Contribution to the plan, 2 6...

Burney loaned Sampson $4,000 to buy a car. Sampson issued a promissory note in favor of Burney for that amount. Also, when he registered the new car, Sampson had Burneys name entered on the title as...

A dynamometer is a device used to measure torque and speed and to vary the load on rotating devices. The dynamometer operates as follows to control the amount of torque: A hydraulic actuator attached...

Maddie is a sociology student who found that individuals with high levels of social support were more likely to graduate from college than individuals with low levels, as indicated by the odds ratio...

Explain, using a specific example (perhaps your own future business), how an organizational structure might evolve. How would you handle the issues of specialization, delegation of authority, and...

Identify emerging market MNCs and compare/contrast them with their developed nation competitors on such factors as sales volume, number of countries entered and brand rank.

reword the following verbiage "-Fraud Detection and Risk Assessment: GAS can be employed to identify potential fraud indicators or assess the risk of fraudulent activities in the accounts receivable...

1. Give a recursive definition for the sequence: 2, 4, 8, 16, 32 ? 2. Let f(x) = -2f(x-1) + 5 and f(0) = 2, find f(4). 3. In New York City, there are two non-bald people who have the same number of...

1) For each of these relations on the set (1, 2, 3, 4), decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive. 2) Given the following...

For each of the following relations on the set {1, 2, 3, 4), decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive: I a) {(2, 2), (2,3),...

Joe's Supply Co. has the following transactions related to notes receivable during the last 2 months of 2014. Nov. 1 Loaned $20,000 cash to Sara Rondelli on a 1-year, 12% note. Dec. 11 Sold goods to...

14) For each of the following relations on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive: (6 marks) a) {(2,...