4. (a) Translate "x2 - 1 is even for every odd integer x" into symbols, and make an outline for a proof of this statement. (b) Prove that x? – 1 is even for every odd integer x.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...
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4. (a) Translate “x² – 1 is even for every odd integer x" into symbols, and make an
outline for a proof of this statement.
(b) Prove that x? – 1 is even for every odd integer x.
Transcribed Image Text:4. (a) Translate “x² – 1 is even for every odd integer x" into symbols, and make an outline for a proof of this statement. (b) Prove that x? – 1 is even for every odd integer x.
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