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Za) Let A = {n E Z | n = 0 (mod 2)} and B = {n € Z | n = 0 (mod 4)}. Prove that if n E (A – B), then n = 2k where k = 1 (mod 2)

Za) Let A = {n E Z | n = 0 (mod 2)} and B = {n € Z | n = 0 (mod 4)}. Prove that if n E (A – B), then n = 2k where k = 1 (mod 2)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.4: Mathematical Induction
Problem 4ECP
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(2a) Let A Prove that if n E (A – B), then n = {n E Z | n = 0 (mod 2)} and B = {n E Z | n = 0 (mod 4)}. 2k where k = 1 (mod 2)
Transcribed Image Text:(2a) Let A Prove that if n E (A – B), then n = {n E Z | n = 0 (mod 2)} and B = {n E Z | n = 0 (mod 4)}. 2k where k = 1 (mod 2)
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