Let E denote a bounded, nonvoid set of real numbers. Is the following characterization of inf E valid? For every positive real number &, • x > −ɛ +inf E for every element of the set E, and there exists an element of the set E such that x < € +inf E. True False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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Let E denote a bounded, nonvoid set of real numbers. Is the following characterization of inf E
valid?
For every positive real number &,
• x > −ɛ +inf E for every element of the set E, and
there exists an element of the set E such that x < € +inf E.
True
False
Transcribed Image Text:Let E denote a bounded, nonvoid set of real numbers. Is the following characterization of inf E valid? For every positive real number &, • x > −ɛ +inf E for every element of the set E, and there exists an element of the set E such that x < € +inf E. True False
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