3.3. Proof that for all integers numbers n, if n3 is odd then n is odd, using proof by contradiction.

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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3.3. Proof that for all integers numbers n, if n3 is odd then n is odd, using proof by
contradiction.
Transcribed Image Text:3.3. Proof that for all integers numbers n, if n3 is odd then n is odd, using proof by contradiction.
3.2. Prove that, for all integers a and b, if a mod 6 = 2 and b mod 6 = 5 then
ab mod 6 = 4. (Review modular arithmetic)
Transcribed Image Text:3.2. Prove that, for all integers a and b, if a mod 6 = 2 and b mod 6 = 5 then ab mod 6 = 4. (Review modular arithmetic)
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