Let x, y and n denote integers. Use induction to prove that Vn 2 5: 3x, y > 0 such that n= 2x + 3y 6.) (Hint: use strong induction form IId, with two base cases: n = 5 and n =

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 22E: Let x and y be integers, and let m and n be positive integers. Use mathematical induction to prove...
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Let x, y and n denote integers. Use induction to prove that
Vn 2 5: 3x, y > 0 such that n =
:2х + 3у
(Hint: use strong induction form IId, with two base cases: n = 5 and n = 6.)
Transcribed Image Text:Let x, y and n denote integers. Use induction to prove that Vn 2 5: 3x, y > 0 such that n = :2х + 3у (Hint: use strong induction form IId, with two base cases: n = 5 and n = 6.)
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