Let a and b be two positive real numbers. Let p > 1 and q> 1 be such that + = 1 (q is called the conjugate of p). Show that we have Р q ab < ap 69 - q р + .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Let a and b be two positive
+= 1 (q is called
1
real numbers. Let p> 1 and q> 1 be such that
the conjugate of p). Show that we have
ap 69
р 9
ab < +
р
Transcribed Image Text:Let a and b be two positive += 1 (q is called 1 real numbers. Let p> 1 and q> 1 be such that the conjugate of p). Show that we have ap 69 р 9 ab < + р
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