Mathematics: A Discrete Introduction
Mathematics: A Discrete Introduction
3rd Edition
ISBN: 9780840049421
Author: Edward A. Scheinerman
Publisher: Cengage Learning
bartleby

Concept explainers

Statements and Logic
Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.
bartleby

Videos

Question
Book Icon
Chapter 3.15, Problem 15.12E
To determine

To prove:that for any equivalence relation R on a set A and for a,b∈A , a∈[b]⇔b∈[a] .

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 3.15, Problem 15.11E
Next
Chapter 3.15, Problem 15.13E

Chapter 3 Solutions

Mathematics: A Discrete Introduction

Ch. 3.14 - Write the following relations on the set 1,2,3,4,5...Ch. 3.14 - Prob. 14.2ECh. 3.14 - Prob. 14.3ECh. 3.14 - For each of the following relations on the set of...Ch. 3.14 - Prob. 14.5ECh. 3.14 - Prob. 14.6ECh. 3.14 - Prob. 14.7ECh. 3.14 - Prob. 14.8ECh. 3.14 - Prob. 14.9ECh. 3.14 - Prob. 14.10E
Ch. 3.14 - Prob. 14.11ECh. 3.14 - Prob. 14.12ECh. 3.14 - Prob. 14.13ECh. 3.14 - Prob. 14.14ECh. 3.14 - Prove: A relation R on a set A is antisymmetric if...Ch. 3.14 - Give an example of a relation on a set that is...Ch. 3.14 - Drawing pictures of relations. Pictures of...Ch. 3.15 - Prob. 15.1ECh. 3.15 - Prob. 15.2ECh. 3.15 - Prob. 15.3ECh. 3.15 - Prob. 15.4ECh. 3.15 - Prove: If a is an integer, then aa (mod 2).Ch. 3.15 - Prob. 15.6ECh. 3.15 - For each equivalence relation below, find the...Ch. 3.15 - Prob. 15.8ECh. 3.15 - Prob. 15.9ECh. 3.15 - Prob. 15.10ECh. 3.15 - Suppose R is an equivalence relation on a set A...Ch. 3.15 - Prob. 15.12ECh. 3.15 - Prob. 15.13ECh. 3.15 - Prob. 15.14ECh. 3.15 - Prob. 15.15ECh. 3.15 - Prob. 15.16ECh. 3.15 - Prob. 15.17ECh. 3.16 - Prob. 16.1ECh. 3.16 - How many different anagrams (including nonsensical...Ch. 3.16 - Prob. 16.3ECh. 3.16 - Prob. 16.4ECh. 3.16 - Prob. 16.5ECh. 3.16 - Prob. 16.6ECh. 3.16 - Prob. 16.7ECh. 3.16 - Prob. 16.8ECh. 3.16 - Prob. 16.9ECh. 3.16 - Prob. 16.10ECh. 3.16 - Prob. 16.11ECh. 3.16 - Prob. 16.12ECh. 3.16 - Prob. 16.13ECh. 3.16 - Prob. 16.14ECh. 3.16 - How many partitions, with exactly two parts, can...Ch. 3.16 - Prob. 16.16ECh. 3.16 - Prob. 16.17ECh. 3.16 - Prob. 16.18ECh. 3.16 - Prob. 16.19ECh. 3.16 - Prob. 16.20ECh. 3.17 - Prob. 17.1ECh. 3.17 - Prob. 17.2ECh. 3.17 - Prob. 17.3ECh. 3.17 - Prob. 17.4ECh. 3.17 - Prob. 17.5ECh. 3.17 - Prob. 17.6ECh. 3.17 - Prob. 17.7ECh. 3.17 - Prob. 17.8ECh. 3.17 - Prob. 17.9ECh. 3.17 - Prob. 17.10ECh. 3.17 - Prob. 17.11ECh. 3.17 - Prob. 17.12ECh. 3.17 - Prob. 17.13ECh. 3.17 - Prob. 17.14ECh. 3.17 - Prob. 17.15ECh. 3.17 - Consider the following formula: kkn=nk1n1. Give...Ch. 3.17 - Prob. 17.17ECh. 3.17 - Prob. 17.18ECh. 3.17 - Prob. 17.19ECh. 3.17 - Prob. 17.20ECh. 3.17 - Prob. 17.21ECh. 3.17 - Prob. 17.22ECh. 3.17 - Prob. 17.23ECh. 3.17 - Prob. 17.24ECh. 3.17 - Prob. 17.25ECh. 3.17 - Prove: 0nnn+1nn1n+2nn2n++n1n1n+nn0n=n2n.Ch. 3.17 - How many Social Security numbers (see Exercise...Ch. 3.17 - Prob. 17.28ECh. 3.17 - Prob. 17.29ECh. 3.17 - Prob. 17.30ECh. 3.17 - Prob. 17.31ECh. 3.17 - Prob. 17.32ECh. 3.17 - Prob. 17.33ECh. 3.17 - Prob. 17.34ECh. 3.17 - Prob. 17.35ECh. 3.17 - Prob. 17.36ECh. 3.17 - Prob. 17.37ECh. 3.18 - Prob. 18.1ECh. 3.18 - Prob. 18.2ECh. 3.18 - Prob. 18.3ECh. 3.18 - Prob. 18.4ECh. 3.18 - Prob. 18.5ECh. 3.18 - Prob. 18.6ECh. 3.18 - Prob. 18.7ECh. 3.18 - Prob. 18.8ECh. 3.18 - Prob. 18.9ECh. 3.18 - Prob. 18.10ECh. 3.18 - Prob. 18.11ECh. 3.18 - Prob. 18.12ECh. 3.18 - Prob. 18.13ECh. 3.18 - Prob. 18.14ECh. 3.18 - Prob. 18.15ECh. 3.18 - Prob. 18.16ECh. 3.18 - Prob. 18.17ECh. 3.18 - Prob. 18.18ECh. 3.18 - Prob. 18.19ECh. 3.19 - Prob. 19.1ECh. 3.19 - Prob. 19.2ECh. 3.19 - Prob. 19.3ECh. 3.19 - Prob. 19.4ECh. 3.19 - How many five-letter words can you make in which...Ch. 3.19 - This problem asks you to give two proofs for...Ch. 3.19 - Prob. 19.7ECh. 3.19 - Prob. 19.8ECh. 3.19 - Prob. 19.9ECh. 3.19 - Prob. 19.10ECh. 3.19 - Prob. 19.11ECh. 3.19 - Prob. 19.12ECh. 3 - Prob. 1STCh. 3 - Prob. 2STCh. 3 - Prob. 3STCh. 3 - Prob. 4STCh. 3 - Prob. 5STCh. 3 - Prob. 6STCh. 3 - Prob. 7STCh. 3 - Prob. 8STCh. 3 - Prob. 9STCh. 3 - Prob. 10STCh. 3 - Prob. 11STCh. 3 - Prob. 12STCh. 3 - Prob. 13STCh. 3 - Prob. 14STCh. 3 - Prob. 15STCh. 3 - Prob. 16STCh. 3 - Prob. 17STCh. 3 - Prob. 18STCh. 3 - Prob. 19STCh. 3 - Prob. 20STCh. 3 - Prob. 21STCh. 3 - Prob. 22ST
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
SEE MORE TEXTBOOKS
Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY