Let A be a non-empty bound suset of R, and let r∊R, r>0. Define the set B={rx: x∊A}. Show that r sup A = sup B.
Let A be a non-empty bound suset of R, and let r∊R, r>0. Define the set B={rx: x∊A}. Show that r sup A = sup B.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 28E
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Let A be a non-empty bound suset of R, and let r∊R, r>0. Define the set B={rx: x∊A}. Show that r sup A = sup B.
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