Consider a Society of individuals who may belong to sets called Clubs and Tribes, satisfying: the entire Society is a Tribe; the empty subset is a Tribe; the intersection of any collection of Tribes is a Tribe; the union of any two Tribes is a Tribe; a set is a Club if and only if the set of individuals not in it is a Tribe. The intersection of two Clubs is necessarily
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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.
TestStop has 29 past-paper questions on this subtopic.
Question from the DSE 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.