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.