(b) Prove that the set S = {x EQ: √2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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(b) Prove that the set S = {xeQ: √2<x<√3} is closed and bounded in (Q.1.1),
but not compact in (Q.1-1).
(c) In the discrete metric space (M, d), find BM(x; 1) and BM (x; 1), where x E M.
Transcribed Image Text:(b) Prove that the set S = {xeQ: √2<x<√3} is closed and bounded in (Q.1.1), but not compact in (Q.1-1). (c) In the discrete metric space (M, d), find BM(x; 1) and BM (x; 1), where x E M.
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