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Prove or Disprove. There exists a unique real number r such that r ≤ p for all positive real numbers p.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.1: The Field Of Real Numbers

Problem 18E: Prove that if is an irrational number, then is an irrational number.

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Prove or Disprove.

There exists a unique real number r such that r ≤ p for all positive real numbers p.

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