Please don't provide handwritten solution ..... 1.Let X = Q be a metric space with d(x, y)= x - y, for any x, y EQ. Define the setE = {re Q: 2

Since for any , we have , since otherwise , which contradicts to the definition of E. Similarly, we…

Answered: Let X = Q be a metric space with d(x,…

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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Let X = Q be a metric space with d(x, y) =r - yl, for any z, y EQ. Define the set E = {r € Q: 2 <³ <3}. Prove the following: (a) E is closed in Q. (b) E is not compact. (e) Is E open in Q? Justify your answer.