Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Is the following statement true or false? Let A CR. Then a ER is the supremum of A if and only if it is an upper bound for A and Ve > 03x € A : x > a- €.
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Transcribed Image Text:Is the following statement true or false? Let A CR. Then a ER is the supremum of A if and only if it is an upper bound for A and Ve > 03x € A : x > a- €.
Expert Solution
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Step 1: Write the given information:

Let A subset of or equal to R then a element of R is the supremum of A if and only if it is an upper bound for A and for all epsilon greater than 0 there exists x element of A colon x greater than a minus epsilon.

To Find:

Is the above statement is true or false.


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