Define a relation D on the set of real of numbers as follows: Vx, y ≤ R, x Dy x-y is rational ⇒ Determine if the relation D is:

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
Good hand writing and circle the answer please, this is a discrete math Question( 18
Define a relation D on the set of real of numbers as follows:
Vx, y ER, xD y ⇒x-y is rational
Determine if the relation D is:
D is reflexive, symmetric, and transitive
OD is not transitive
D is not reflexive
Dis not symmetric
Transcribed Image Text:Define a relation D on the set of real of numbers as follows: Vx, y ER, xD y ⇒x-y is rational Determine if the relation D is: D is reflexive, symmetric, and transitive OD is not transitive D is not reflexive Dis not symmetric
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

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,