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Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation points S is bounded S has an open cover that contains a finite subcover None of the above. The set S=[1,3) is not compact. Which open cover of S contains a finite subcover? O {[1, 3+1/n) | neN} O {(1-1/n, 3 + 1/n) | nEN } O {(1+1/n, 3 + 1/n) | nEN } None of the above

Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation points S is bounded S has an open cover that contains a finite subcover None of the above. The set S=[1,3) is not compact. Which open cover of S contains a finite subcover? O {[1, 3+1/n) | neN} O {(1-1/n, 3 + 1/n) | nEN } O {(1+1/n, 3 + 1/n) | nEN } None of the above

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 9E: Let D be an integral domain with four elements, D=0,e,a,b, where e is the unity. a. Prove that D has...
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Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation points S is bounded S has an open cover that contains a finite subcover O None of the above. The set S=[1,3) is not compact. Which open cover of S contains a finite subcover? {[1,3 + 1/n) | nEN } O {(1-1/n, 3 + 1/n) | nEN } {(1 + 1/n, 3 + 1/n) | nEN } O None of the above
Transcribed Image Text:Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation points S is bounded S has an open cover that contains a finite subcover O None of the above. The set S=[1,3) is not compact. Which open cover of S contains a finite subcover? {[1,3 + 1/n) | nEN } O {(1-1/n, 3 + 1/n) | nEN } {(1 + 1/n, 3 + 1/n) | nEN } O None of the above
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