If S is an ordered set, then One of the following is true: A) If A is a subset of S and A has an upper bound, then it is not necessarily that A has a least upper Bound (Sup). B) If A is a subset of S and A has a lower bound, then A has a greatest lower Bound (inf). C) If A is a subset of S and A has an upper bound, then A has aleast Upper Bound (Sup). D) None of above.
If S is an ordered set, then One of the following is true: A) If A is a subset of S and A has an upper bound, then it is not necessarily that A has a least upper Bound (Sup). B) If A is a subset of S and A has a lower bound, then A has a greatest lower Bound (inf). C) If A is a subset of S and A has an upper bound, then A has aleast Upper Bound (Sup). D) None of above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:If S is an ordered set, then One of the following is true:
A) If A is a subset of S and A has an upper bound,
then it is not necessarily
that A has a least upper Bound (Sup).
B) If A is a subset of S and A has a lower bound,
then A has a greatest lower Bound (inf).
C) If A is a subset of S and A has an upper bound,
then A has aleast Upper Bound (Sup).
D) None of above.
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