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Problem of the Week 1084

Cover the Spread Points

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True or False:

For every set S of five or more points in the plane, if every subset of five points can be covered by two lines, then S can be covered by two lines.

Extra credit: T or F: For every set S of six or more points in the plane, if every subset of six points can be covered by at most two lines, then S can be covered by at most two lines.

Source: Iranian Olympiad, 2002, Oct Crux. Mathematicorum, p. 347

© Copyright 2007 Stan Wagon. Reproduced with permission.

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29 October 2007