Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
If a relation is an equivalence relation, state the set of equivalence classes.

If a relation is an equivalence relation, state the set of equivalence classes.

Advanced Engineering Mathematics
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
Question

Please answer each question completely

Q2 Exercise 2: Relations Decide if the following relations are reflexive, symmetric or transitive. If a relation is an equivalence relation, state the set of equivalence classes. 1. Let X = P({1, 2, 3}). On X we define the relation for A, B E X: We say that A~ B if and only if A has the same number of elements as B. 2. R := {(x, y) = R² : x - y| <2}, where x - y is the absolute value as defined in the lecture. 3. Let f: RR, x→ sin(x). We define the relation ~ for x, y E R via x~y: f(x) = f(y),. I I + Drag and drop an image or PDF file or click to browse... 1
Transcribed Image Text:Q2 Exercise 2: Relations Decide if the following relations are reflexive, symmetric or transitive. If a relation is an equivalence relation, state the set of equivalence classes. 1. Let X = P({1, 2, 3}). On X we define the relation for A, B E X: We say that A~ B if and only if A has the same number of elements as B. 2. R := {(x, y) = R² : x - y| <2}, where x - y is the absolute value as defined in the lecture. 3. Let f: RR, x→ sin(x). We define the relation ~ for x, y E R via x~y: f(x) = f(y),. I I + Drag and drop an image or PDF file or click to browse... 1
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS