Question: Let R be a relation on A . Prove that if R is an equivalence relation on A , then R ? 1 is also

Let R be a relation on A. Prove that if R is an equivalence relation on A, then R?1 is also an equivalence relation on A.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The detailed answer for the above question is provided below Let R be an equivalen... View full answer

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!

Q:

Let r be a relation of degree n. How many different projections of r are there?

Q:

Let R be a relation on set of lines as L1 R L2 if L1 is perpendicular to L2. Then a) R is Reflexive b) R is transitive c) R is symmetric d) R is an equivalence relation

Q:

Let R be a relation defined on N N by (a,b) R (c, d) if a + d = b + c. Prove that R is an equivalence relation on N x N.

Q:

Each team member is to become an expert on one depreciation method to facilitate teammates' understanding of that method. Follow these procedures: a. Each team member is to select an area of...

Q:

The following is a news item reported by Reuters: WASHINGTON, Jan 29 (Reuters)Wright Medical Group, a maker of reconstructive implants for knees and hips, on Tuesday filed to sell 3 million shares of...

Q:

What kind of preferences are represented by a utility function of the form u(x 1 , x 2 ) = x 1 + x 2 ? Is the utility function v(x 1 , x 2 ) = x 2 1 + 2x 1 x 2 + x 2 a monotonic transformation of u(x...

Q:

Under what conditions does the failure to reject ????0 become a reliable decision?

Q:

Consider Brownings four options by listing the pros and cons of adopting each based upon the material given in the case study as well as your reading and general knowledge of information systems....

Q:

Fresno Corp. is a fast-growing company whose management that expects to grow at a rate of 26 percent over the next two years and then to slow to a growth rate of 20 percent for the following three...

Q:

SECTION B: ANSWER ANY THREE (3) QUESTIONS QUESTION TWO The following summarized statements of comprehensive income have been prepared for the year ended 31 December 2014 for Gold Reef Holdings and...

Q:

Could you provide me with the names and links of court cases related to educator/teacher misconduct and educator misuse of public funds and property within the last 10 years in Mississippi?

Q:

For the company 7-eleven, briefly describe their current inventory management, processes and functions employed within that infrastructure.

Q:

The information that follows pertains to Julia Company: (a) Temporary differences for the year 2024 are summarized below. Expenses deducted in the tax return, but not included in the income...

Q:

Provide 2 business threats as part of SWAT Analysis for Booktopia Pty Ltd (Australian online bookstore) based on one of the following trends: Political, Economic, Social and Cultural, Technological,...

Q:

A BA is documenting their planning and monitoring experience. Which task covers the question, "Have you decided how your deliverables were going to be reviewed and accepted?"

Q:

2 Part 2 of 2 6 points Required information [The following information applies to the questions displayed below.] Tamar Company manufactures a single product in two departments: Forming and Assembly....

Q:

The Data file to solve questions 5 and 6 is above. Please provide me with the step-by-step instructions of how to solve this in excel. 5. Create a Histogyram using Data Analysis for Age Specify the...

Q:

What steps must a business take to implement a program of social responsibility?

Q:

Draw the directed graph of the reflexive closure of the relations with the directed graph shown. 1. 2. b d

Q:

Use the principle of inclusion-exclusion to find the number of positive integers less than 1,000,000 that are not divisible by either 4 or by 6.

Q:

The mathematics department has six committees, each meeting once a month. Howmany different meeting times must be used to ensure that no member is scheduled to attend two meetings at the same time if...

Q:

It has been said that the advantage that leading-edge retailers such as Dell and Walmart have over their competition isn?t technology; it?s their management. Do you agree? Why or why not?

Q:

Describe the impact of the Internet on each of the five competitive forces.

Q:

Discuss the ethics of emotion regulation. As a manager, should you strive to control your emotions or do you owe to your employees to show your emotions?