question 38 please quickly thanks ! 38. Let F be a closed set in R. Let y ¢ F. Show that there exists some ɛ > 0 such thatthe intersection of F and the open interval (y – E, y + ɛ) is empty.

We have to prove the above statement.

Answered: 38. Let F be a closed set in R. Let y ¢…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 6E: 6. For the given subsets and of Z, let and determine whether is onto and whether it is...

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38. Let F be a closed set in R. Let y ¢ F. Show that there exists some ɛ > 0 such that the intersection of F and the open interval (y – E, y + ɛ) is empty.