Which among the sets is open? O [0,1) O (01/1/3,1/2,1} R\[a,b] None of the above.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5TFE
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Which among the sets is open?
O [0,1)
O {0,..1/n,..,1/3,1/2,1}
OR\[a,b]
O None of the above.
Consider the following families of sets indexed by the set of natural numbers. Which among
these is closed?
nA_n where A_n=(0,1+1/n)
nB_n where B_n=[0,1+1/n)
Uc_n where C_n= [(2n+1)/n, 3]
None of the above
Transcribed Image Text:Which among the sets is open? O [0,1) O {0,..1/n,..,1/3,1/2,1} OR\[a,b] O None of the above. Consider the following families of sets indexed by the set of natural numbers. Which among these is closed? nA_n where A_n=(0,1+1/n) nB_n where B_n=[0,1+1/n) Uc_n where C_n= [(2n+1)/n, 3] None of the above
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