If A = {1, 2, 3, 4, 5, 6, 7}, define R on A by (x, y)
Question:
(a) Show that R is an equivalence relation on A.
(b) Determine the equivalence classes and partition of A induced by R.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (12 reviews)
a For all a A a a 3 0 so R is reflexive For a b A a b 3c for som...View the full answer
Answered By
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students.
Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs.
Responsible for Creating, Editing, Updating all contents related Chemical Engineering in
latex language
4.40+
8+ Reviews
22+ Question Solved
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Question Posted:
Students also viewed these Linear Algebra questions
-
Consider again the study described in the main body of this chapter concerning the effect of an air pollution episode on pulmonary function measurements (FEV1) taken on each of K= 40 school children...
-
If A = {1, 2, 3}, and B = {2, 4, 5}, give examples of (a) three nonempty relations from A to B; (b) three nonempty relations on A.
-
(a) If A = {1, 2, 3, 4, 5} and B = {w, x, y, z}, how many elements are there in P(A X B)? (b) Generalize the result in part (a).
-
The following are the Ledger Balance (in thousands) extracted from the books of Vaishnavi Bank Ltd as on March 31, 2016. The bank's Profit and Loss Account for the year ended and Balance Sheet as at...
-
The US-Haul Truck Rental firm has accumulated extra trucks at three of its truck leasing outlets, as shown: Leasing Outlet Extra Trucks 1. ...........Atlanta 70 2. ............St. Louis 115 3....
-
A two-story shear building is shown in Fig. 7.14 in which the floors are assumed to be rigid. Using Rayleigh's method, compute the first natural frequency of the building for \(m_{1}=2 m, m_{2}=m,...
-
Describe the major components of entrepreneurial succession. What are the most difficult areas of succession? How do successions overlap over time?
-
The 21,000-seat Air East Arena houses the local professional ice hockey, basketball, indoor soccer, and arena football teams as well as various trade shows, wrestling and boxing matches, tractor...
-
Dodge company has been a very reliable automobile that has been in the market it has had ups and downs. Has increased its market sales up to 18% Has been a well-known vehicle in the past couple of...
-
The resumes of 2 male applicants for a college teaching position in chemistry are placed in the same file as the resumes of 2 female applicants. Two positions become available and the first, at the...
-
Let A = {1, 2, 3, 4, 5} {1, 2, 3, 4, 5}, and define R on A by (x1, y1) R (x2, y2) if x1 + y1 = x2 + y2. (a) Verify that R is an equivalence relation on A. (b) Determine the equivalence classes [(1,...
-
For A = {(-4, -20), (-3, -9), (-2, -4), (-1, -11), (-1, -3), (1, 2), (1, 5), (2, 10), (2, 14), (3, 6), (4, 8), (4, 12) define the relation R on A by (a, b) R (c, d) if ad = bc. (a) Verify that R is...
-
Determine the magnitudes of the projection of the force acting along the x and y axes. 300 mm -30 300 mm Prob. 2-127 30 F = 300 N 300 mm
-
Consider an economy with two possible states of the world and two agents \(a\) and \(b\), with homogeneous beliefs \((\pi, 1-\pi)\) about the realization of the state of the world and utility...
-
Consider an economy with two traded assets and tree possible states of the world, where the dividend matrix \(D\) is given by \[D=\left[\begin{array}{ll}1 & 0 \\0 & 1 \\0 & 1\end{array} ight]\]...
-
Marketing involves creating, delivering, and communicating about products that have value for customers. Within this exciting and evolving field are many jobs that may offer a lucrative and rewarding...
-
Consider an economy with two possible states of the world, with associated probabilities of occurrence \((1 / 2,1 / 2)\), and a representative agent with expected logarithmic utility function of the...
-
United Project Consultants (UPC) provides project consultancy services to new business projects. For 2017, it has a total budgeted revenue of \($480\),000, based on an average price of \($240\) per...
-
Evaluate the indefinite integral. COS(/x) .2 dx
-
Heineken N.V., a global brewer based in the Netherlands, reports the following balance sheet accounts for the year ended December 31, 2016 (euros in millions). Prepare the balance sheet for this...
-
Construct a pie chart that shows the following transportation-related expenses: Fuel: $240; Insurance: $80; Public transportation: $200; Parking garage: $120; Repairs: $160.
-
Examine the following bar graph that shows budgeted monthly utility expenses for a one-year period. Utility Budget a. In which months was the same amount budgeted? b. What is the total annual amount...
-
Construct a bar graph for Jason's transportation budget expenses. 400 550 400 650 400 350 200 300 450 500 650 500 Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
-
Kate Elliott, "a new product development specialist at Donaldson Family Foods, Inc., paced in her office and shuffled papers on her desk. She had a lot of work to do, but she couldn't seem...
-
Every year, Dr. Cook, a college professor, leads a group of 25 college students to the Middle East on an archaeological dig that usually lasts about eight weeks. The participants, who come from big...
-
Imagine you're part of a small team working at a tech start-up called "InnoTech Solutions." Your team consists of five members: Alex: Project Manager, with a background in software development....
Study smarter with the SolutionInn App