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2. Prove the following a) If a 0 and b2 0. Then a

2. Prove the following a) If a 0 and b2 0. Then a

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 7E: If a0 and ab, then prove or disprove that (a,b)=a.
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2. Prove the following a) If a <b and c < d, then ad + bc < ac + bd. b) Let a >0 and b2 0. Then a <b if and only if a? < b².
Transcribed Image Text:2. Prove the following a) If a <b and c < d, then ad + bc < ac + bd. b) Let a >0 and b2 0. Then a <b if and only if a? < b².
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