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4 marks, −1MathematicsReal analysisTopology of the real line: open, closed and compact setsHardabout 3 min
DSE 2018 Question 7: Real analysis
Answer and worked solution
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Plain-text version
The set [0,1] (A) cannot be the intersection of a countable collection of sets of the form (a,b) (B) is the intersection of a countable collection of sets of the form (a,b) (C) is the union of a countable collection of sets of the form (a,b) (D) is the union of a countable collection of sets of the form [a,a]
Real analysis has come up 38 times in 5 exams since 2005.
What this question tests
This question is on Topology of the real line: open, closed and compact sets, part of Real analysis in Mathematics.
Which sets are open, closed or compact and how unions and intersections behave.
TestStop has 29 past-paper questions on this subtopic.
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Question from the DSE 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.