Consider the following statements:
(A) The union of a finite number of closed sets is a closed set.
(B) The empty set is an open set but not a closed set.
(C) Every infinite set is an open set.
(D) The intersection of a finite number of open sets is an open set.
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Real analysis has come up 38 times in 5 exams since 2005.
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.
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Question from the UGC-NET 2023 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.