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Questions › DSE › DSE 2017 › Q17
2 marks, −0.666666666666667Mathematics › Real analysis › Topology of the real line: open, closed and compact setsModerateabout 3 min

DSE 2017 Question 17: Real analysis

The interval (0,1)(0,1)(0,1) can be expressed as

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The interval (0,1) can be expressed as (A) the union of a countable collection of closed intervals (B) the intersection of a countable collection of closed intervals (C) both (A) and (B) (D) neither (A) nor (B)

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.

Practise Real analysisMore on Topology of the real line: open, closed and compact sets

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Question from the DSE 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.