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(From the GRE Practice Exam)* Let p and q be distinct

Contemporary Abstract Algebra | 8th Edition | ISBN: 9781133599708 | Authors: Joseph Gallian ISBN: 9781133599708 52

Solution for problem 17E Chapter 2

Contemporary Abstract Algebra | 8th Edition

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Contemporary Abstract Algebra | 8th Edition | ISBN: 9781133599708 | Authors: Joseph Gallian

Contemporary Abstract Algebra | 8th Edition

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Problem 17E Problem 17E

(From the GRE Practice Exam)* Let p and q be distinct primes. Suppose that H is a proper subset of the integers that is a group under addition that contains exactly three elements of the set {p, p + q, pq, pq, qp}. Determine which of the following are the three elements in H.

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1-20-17 Tuesday, September 6, 20111:06 AM Important Points • The Scientific Method ○ Observation, Representation, Interpretation ○ Representationis a model • Classification of Matter ○ Anything that occupies spaceand has mass. ○ Governed by two things: compositionand energy. ○ Mixtures: A combinationof two or more substancesin which the substancesretain their identities.  Homogenous mixtures: compositionof the mixture is the samethroughout.  Heterogenousmixtures: compositionis not uniform throughout  Physical means can be used to seperatemixtures into its pure components ○ Substances:Compounds and elements.  Elements cannot be seperatedinto simplersubstancesby chemical mean

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Chapter 2, Problem 17E is Solved
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Textbook: Contemporary Abstract Algebra
Edition: 8
Author: Joseph Gallian
ISBN: 9781133599708

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(From the GRE Practice Exam)* Let p and q be distinct