(a) Give an example of a relation on the set {a, b, c, d] which is symmetric and transitive, but not reflexive. (b) Let R be the equivalence relation on the set S = {1, 3, 5, 7,..., 49} defined by *Ry if and only if x = y (mod 10). Give the equivalence classes for the relation R on S.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
(a) Give an example of a relation on the set {a, b, c, d} which is symmetric and
transitive, but not reflexive.
(b) Let R be the equivalence relation on the set S = {1, 3, 5, 7,..., 49} defined by
xRy if and only if x = y (mod 10).
Give the equivalence classes for the relation R on S.
Justify your answers!
Transcribed Image Text:(a) Give an example of a relation on the set {a, b, c, d} which is symmetric and transitive, but not reflexive. (b) Let R be the equivalence relation on the set S = {1, 3, 5, 7,..., 49} defined by xRy if and only if x = y (mod 10). Give the equivalence classes for the relation R on S. Justify your answers!
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,