Answered: let a be a nonempty compact subset of R…

let a be a nonempty compact subset of R and let B be a nonempty closed sub set of R such that A "upsidedown U" B does not equal the empty set. show that dis(A,B)>0.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 18E: Let (A) be the power set of the nonempty set A, and let C denote a fixed subset of A. Define R on...

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Question

let a be a nonempty compact subset of R and let B
be a nonempty closed sub set of R such that A
"upsidedown U" B does not equal the empty set.
show that dis(A,B)>0.

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