Answered: Problem 2. Let A be a non-empty set of…

Problem 2. Let A be a non-empty set of real numbers that is bounded from above. Show: If s and t both are suprema of A, then s = t. (This shows that a set can have at most one supremum.)

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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Problem 2. Let A be a non-empty set of real numbers that is bounded from above. Show: If s and
t both are suprema of A, then s = t. (This shows that a set can have at most one supremum.)

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