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If D is an open subset of R, which contains all rational numbers lying between 0 and 2, then does V2 E D? Justify your answer. Consider the set X A, U A2, where A, (0,1) and A2 = [2, 3). Show that A1 and A2 are both open as well as closed in X.

If D is an open subset of R, which contains all rational numbers lying between 0 and 2, then does V2 E D? Justify your answer. Consider the set X A, U A2, where A, (0,1) and A2 = [2, 3). Show that A1 and A2 are both open as well as closed in X.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 3E: Express the set of real numbers between but not including 2 and 7 as follows. (a) In set-builder...
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If D is an open subset of R, which contains all rational numbers lying between 0 and then does V2 E D? Justify your answer. Consider the set X = A, U A2, where A, (0,1) and A2 = [2,3). Show that A, and A2 are both open as well as closed in X.
Transcribed Image Text:If D is an open subset of R, which contains all rational numbers lying between 0 and then does V2 E D? Justify your answer. Consider the set X = A, U A2, where A, (0,1) and A2 = [2,3). Show that A, and A2 are both open as well as closed in X.
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