Let A be a non-empty and bounded subset of R, and let x_0=supA. Prove that x_0 ∈ A or that x_0 is an accumulation pt of A.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 3E: 3. Let be an integral domain with positive characteristic. Prove that all nonzero elements of...
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Let A be a non-empty and bounded subset of R, and let x_0=supA. Prove that x_0 ∈ A or that x_0 is an accumulation pt of A.
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