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Description: Let m, n, p be integers. Use direct proof to show that if m+n and n+p are odd then m+p is even.

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 19E: 19. Let and be nonzero integers. Prove that if and only if divides .

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Let m, n, p be integers. Use direct proof to show that if m+n and n+p are odd then m+p is even.

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