Let A be a bounded subset of IR and let sup A = B. Which of the following is/are not an attribute of B? I: Ve > 0,3 x € A ? B - e

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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22.
Let A be a bounded subset of R and let sup A = ß. Which of the following is/are not an attribute
of ß?
I: VE > 0,3 x € A Ə ß – e < x < ß.
II: BS x V x € A.
III: if a E A 3 x < a V x € A then ß a .
A. I and II only
B. II and II only
С.I, I and III
D. II only
E. None of the above.
Transcribed Image Text:22. Let A be a bounded subset of R and let sup A = ß. Which of the following is/are not an attribute of ß? I: VE > 0,3 x € A Ə ß – e < x < ß. II: BS x V x € A. III: if a E A 3 x < a V x € A then ß a . A. I and II only B. II and II only С.I, I and III D. II only E. None of the above.
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