Suggested Problems
Chapter 1
Section 1.1: 3
Section 1.2: 5, 7
Section 1.3: 2, 3, 5, 9, 10
Chapter 2
Section 2.3: 1
Chapter 3
Section 3.1: 1, 2, 3, 4
Section 3.2: 5, 6
Chapter 5
Section 5.2: 1, 2
Section 5.3: 3, 5, 8
Section 5.4: 1, 2, 3, 4, 5, 6
Additional problems
- Let F be a family of 4k pairwise disjoint segments in the plane, where k is a positive integer. Show that there exists a line l such that one of the open halfplanes bounded by l contains at least one member of F while the opposite open halfplane contains at least k+1 members of F.