S Property, B be a
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 2TFE: Label each of the following statements as either true or false.
Every upper bound of a nonempty set ...
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Um.... in the problem statement, there is no mention of B being bounded below and L isn't the set of lower bounds of B.
The given info is:
- S is an ordered set with G.L.B proerty
- B is a nonempty subset of S
- B is bounded above
- L is the set of all upper bounds of B
Want to prove:
- a = inf L exists in S
- a = sup B
Could someone give a more detailed response?
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