For the Society in which Families are closed under arbitrary intersection and finite union (with the whole Society and the empty set as Families) and a Gang is the complement of a Family: which of the following statements is necessarily true? (A) A set of individuals cannot be a Gang and a Family. (B) There are at least two sets of individuals that are both a Family and a Gang. (C) The union of a Family and a Gang is a Gang. (D) The intersection of a Family and a Gang is a Family.

2 marksMathematicsReal analysisTopology of the real line: open, closed and compact setsHardabout 3 min

DSE 2006 Question 56: Real analysis

For the Society in which Families are closed under arbitrary intersection and finite union (with the whole Society and the empty set as Families) and a Gang is the complement of a Family: which of the following statements is necessarily true?

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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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DSE 2006 Question 56: Real analysis

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DSE 2006 Question 56: Real analysis

Answer and worked solution

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