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Let x and y be distinct real numbers. Prove there is a neighborhood P of x and a neighborhood of y such that P no = 0.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.3: Divisibility

Problem 23E: Let a and b be integers such that ab and ba. Prove that b=0.

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Let x and y be distinct real numbers. Prove there is a neighborhood P of x and a neighborhood
of y such that P no = 0.

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