os tedt SA to ateadura owd to olqmexe ne evi (atnioq S&I moldoProblem 643 points For each of the following relations on the integersZ, say whether is an equivalence relation; explain your answer. If isan equivalence relation, give an explicit description of the set of equivalenceclasses Z/~.~a.~y if and only if x > 0 and y > 0.b. xy if and only if |x| = y.c. xy if and only if x - y = 2.

Answered: Image /qna-images/answer/5111c7d0-a889-4ec9-bf3d-0cd624337e44.jpg

Answered: os tedt $ to ateadure out to olquexe ne…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

State the formal definitions that a relation must satisfy in order to count as Reflexive, Symmetric, and Transitive. Then construct three small worlds showing, respectively, that a relation can be Reflexive and not Symmetric, Symmetric and not Transitive, and Reflexive and not Transitive. Finally, for each of the three small worlds that you construct, give an example of a relation in ordinary language that works like the relation in the small world you built. That is, for your first small world, give an ordinary language example of a relation that is Reflexive and not Symmetric.
Need help with this discrete problem.
6. Prove the following statements and provide an illustration to substantiate the proof. a) Let R1 and R2 be an equivalence relation on X. Show that ROR, is an equivalence relation on X. b) Let A, B, C, D be sets. Suppose R is a relation from A to B, S is a relation from B to C, and T is a relation from C to D. Then (RoS)•T=R•(S•T).
This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) E AXB I (x, y) ER or (x, y) E S} RNS = {(x, y)E AXB| (x, y) ER and (x, y) Es}. Let A = {-2, 2, 3, 5} and B = {2, 3} and define relations R and S from A to B as follows: For every (x, y) E Ax B, x R y - |x| = lyl and xsyex - y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RU S, and RN s. (Enter your answers as comma-separated lists of ordered pairs.) AXB = R = S = RUS = ROS =
please answer number 7. If you can please answer as much as you can.
Please Prove these step by step and use language that would be used in proofs ie: Thus. Therefore. By definition x
I have the following question and I dont know how to approach it, so if able show step by step how to solve this: "Let A be a nonempty set. If R is a relation from A to A that is both an equivalence relation and a function,then what familiar function is R? Justify your answer"
I need help with this please
Problem 7. Which of the following relations ~on Z is an equivalence relation? Explain your answer, and for each relation that is an equivalence relation, give the set Z/~ of all equivalence classes. 1

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS