Consider the set Y = [-1, 1] as a subspace of R. Which of the following sets are open in Y? Which are open in R? A = {x | 3 < |x| < 1}, B= {x | 글 < |지 < 1}, C= {x|} < |지 < 1}, D = {x | } < \xl < 1}, E = {x | 0 < |x| < 1 and 1/x ¢ Z+}. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the set Y = [-1, 1] as a subspace of R. Which of the following sets
are open in Y? Which are open in R?
A = {x | 3 < |x| < 1},
B= {x | 글 < |지 < 1},
C= {x|} < |지 < 1},
D = {x | } < \xl < 1},
E = {x | 0 < |x| < 1 and 1/x ¢ Z+}.
%3D
Transcribed Image Text:Consider the set Y = [-1, 1] as a subspace of R. Which of the following sets are open in Y? Which are open in R? A = {x | 3 < |x| < 1}, B= {x | 글 < |지 < 1}, C= {x|} < |지 < 1}, D = {x | } < \xl < 1}, E = {x | 0 < |x| < 1 and 1/x ¢ Z+}. %3D
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