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Define a relation D on the set of real of numbers as follows: Vx, y ≤ R, x Dy x-y is irrational OD is reflexive, symmetric, and transitive. OD is reflexive, we can write a formal proof OD is not symmetric OD is not reflexive. We can provide a counter example.

Define a relation D on the set of real of numbers as follows: Vx, y ≤ R, x Dy x-y is irrational OD is reflexive, symmetric, and transitive. OD is reflexive, we can write a formal proof OD is not symmetric OD is not reflexive. We can provide a counter example.

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
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Define a relation D on the set of real of numbers as follows: Vx, y ≤R, x Dy ⇒ x - y is irrational OD is reflexive, symmetric, and transitive. OD is reflexive, we can write a formal proof OD is not symmetric OD is not reflexive. We can provide a counter example.
Transcribed Image Text:Define a relation D on the set of real of numbers as follows: Vx, y ≤R, x Dy ⇒ x - y is irrational OD is reflexive, symmetric, and transitive. OD is reflexive, we can write a formal proof OD is not symmetric OD is not reflexive. We can provide a counter example.
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