2. Show that given statement , no typing If S is a non-empty set of real numbers which is boundedabove, then a real number s is the supremum of S if and only if the followingtwo conditions hold :(i) xSs V xeS.(ii) Given.any ɛ> 0, 3 some x e S such that x > s - E.11

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Answered: If S is a non-empty set of real numbers…

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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If S is a non-empty set of real numbers which is bounded above, then a real number s is the supremum of S if and only if the following two conditions hold : (i) x 0, 3 some x e S such that x > s- E.