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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 rational ⇒ Determine if the relation D is:

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
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 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
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