*3. Suppose x is a real number and > 0. Prove that (x - e, x + e) is a neighborhood of each of its members; in other words, if y E (x - e, x + e), then there is 8 >0 such that (y-8, y + 8) C (x - €, x + €).
*3. Suppose x is a real number and > 0. Prove that (x - e, x + e) is a neighborhood of each of its members; in other words, if y E (x - e, x + e), then there is 8 >0 such that (y-8, y + 8) C (x - €, x + €).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 25E: 25. Prove that if and are integers and, then either or.
(Hint: If, then either or, and similarly...
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