Prove that for all integers n ≥ 8 that n = 3a + 5b for some a, b = Z+

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 21E: Prove that if and are integers such that and , then either or .
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Please use mathematical reasoning and explanations in the proof instead of generalized statements. Thank you

Prove that for all integers n ≥ 8 that n = 3a + 5b for some a, b E Z+
Transcribed Image Text:Prove that for all integers n ≥ 8 that n = 3a + 5b for some a, b E Z+
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