Let E denote a bounded, nonvoid set of real numbers. Is the following characterization of inf E valid? For every positive real number , • x>-€ +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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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>-€ +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>-€ +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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