how to answer number 4 4.satisfyingLet (X, d) and (X, d') be a metric spaces such that there is NEN1==ď' (a,b) ≤d(a,b) ≤ ď' (a,b), (va,b ≤ X).Show that if (X, d') is a complete metric space, then (X, d) is also a completemetric space.

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Answered: Let (X, d) and (X, d') be a metric…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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Let (X, d) and (X, d') be a metric spaces such that there is NEN '(a, b) ≤ d(a, b) ≤ d'(a,b), (Va,b ≤ X). N Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space. 4. satisfying