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Appendix B Answers and Hints for the Practice Problems
2 Direct Proofs
2.3 Practice Problems for ChapterĀ 2
2.3.1.
2.3.2.
2.3.3.
2.3.4.
2.3.4.a
2.3.4.b
2.3.5.
3 Some Other Methods of Proof
3.4 Practice Problems for ChapterĀ 3
3.4.1.
3.4.2.
3.4.2.a
3.4.2.b
3.4.2.c
3.4.3.
4 Proof by Contradiction
4.4 Practice Problems for ChapterĀ 4
4.4.1.
4.4.1.a
4.4.1.b
4.4.2.
4.4.3.
4.4.4.
5 Using Cases in Proofs
5.3 Practice Problems for ChapterĀ 5
5.3.1.
5.3.1.b
5.3.2.
5.3.3.
6 Mathematical Induction
6.4 Practice Problems for ChapterĀ 6
6.4.1.
6.4.1.c
6.4.2.
6.4.3.
6.4.4.
6.4.4.a
6.4.4.b
6.4.4.c
6.4.5.
7 Injective and Surjective Functions
7.3 Practice Problems for ChapterĀ 7
7.3.1.
7.3.2.
7.3.2.a
7.3.2.b
7.3.2.c
7.3.2.d
7.3.3.
7.3.3.a
7.3.3.b
7.3.4.
7.3.4.a
7.3.4.b
7.3.4.c