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Is the following variation of the Archimedean property true or false? If x and y are real numbers, and a < 0, then there exists a natural number n such that nx < y. True False

Is the following variation of the Archimedean property true or false? If x and y are real numbers, and a < 0, then there exists a natural number n such that nx < y. True False

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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Could I get these true false problems solved please? Thank you 

Is the following variation of the Archimedean property true or false? If x and y are real numbers, and a < 0, then there exists a natural number n such that nx < y. True False
Transcribed Image Text:Is the following variation of the Archimedean property true or false? If x and y are real numbers, and a < 0, then there exists a natural number n such that nx < y. True False
Is the following statement true or false? When x is a real number, one way to prove that x < 2 is to show that x < 2+ for every positive real number ε. True False
Transcribed Image Text:Is the following statement true or false? When x is a real number, one way to prove that x < 2 is to show that x < 2+ for every positive real number ε. True False
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