Exercise. Show that in R with the euclidean metric, any subset of R\Q with more than one element is not connected.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 45E
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Exercise. Show that in R with the euclidean metric, any subset of R\Q
with more than one element is not connected.
Transcribed Image Text:Exercise. Show that in R with the euclidean metric, any subset of R\Q with more than one element is not connected.
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