a) Prove that |x| ≤ 2 implies that |x² − 4| ≤ 4|x − 21.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 31E: 31. Prove statement of Theorem : for all integers and .
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a) Prove that |x| ≤ 2 implies that |x² − 4| ≤ 4|x − 21.
Transcribed Image Text:a) Prove that |x| ≤ 2 implies that |x² − 4| ≤ 4|x − 21.
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