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

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

Algebra & Trigonometry with Analytic Geometry
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 d'(a, b) ≤d(a, b) ≤ d'(a, b), (Va, bEX). Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space. 4. satisfying
Transcribed Image Text:Let (X, d) and (X, d') be a metric spaces such that there is NEN d'(a, b) ≤d(a, b) ≤ d'(a, b), (Va, bEX). Show that if (X, d') is a complete metric space, then (X, d) is also a complete metric space. 4. satisfying
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