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Exercise 6 If az, a2, .,a, and by, b2, ..., b, are two sets of positive numbers arranged in descending order of magnitude, prove that (a1 + az + ·*· + a„)(b + b2 ++ bn) < n(a,b1 + azb2 + · · · + a„b„).

Exercise 6 If az, a2, .,a, and by, b2, ..., b, are two sets of positive numbers arranged in descending order of magnitude, prove that (a1 + az + ·*· + a„)(b + b2 ++ bn) < n(a,b1 + azb2 + · · · + a„b„).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 54E
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Exercise 6 If a1, a2, ..., an and bị, b2, .., b, are two sets of positive numbers arranged in descending order of magnitude, prove that (a1 + a2 + ... + an)(b + b2 + ...+ bm) < n(ajb1 + azb2 + ..+a,bn).
Transcribed Image Text:Exercise 6 If a1, a2, ..., an and bị, b2, .., b, are two sets of positive numbers arranged in descending order of magnitude, prove that (a1 + a2 + ... + an)(b + b2 + ...+ bm) < n(ajb1 + azb2 + ..+a,bn).
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