Let S1 = {(xy)/ x22y-1}, S2 = {(x,y)/x <3, 1s y 5} and S3 = {(x,y)/ O< x<3, 1sys5}. %3D Then: S1 and S2 are compact subspaces of R.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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Let S1 = {(xy)/ x>2y-1}, S2 = {(x,y)/ x <3,
1s y <5} and S3 = {(x,y)/ O< x<3, 1sys5}.
Then:
S1 and S2 are compact subspaces of
R.
S2 and S3 are compact subspaces of
R.
Only S2 is a compact subspace of R.
None of S1, S2 and S2 is compact in
R.
Transcribed Image Text:Let S1 = {(xy)/ x>2y-1}, S2 = {(x,y)/ x <3, 1s y <5} and S3 = {(x,y)/ O< x<3, 1sys5}. Then: S1 and S2 are compact subspaces of R. S2 and S3 are compact subspaces of R. Only S2 is a compact subspace of R. None of S1, S2 and S2 is compact in R.
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