The Nature of Mathematics, 12th Edition
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Homework Hints for Section 3.5

Problems 1-8
See Example 1.
Problems 9-14
See Example 3. Start with the given statement and use the postulates, one at a time, until the result is the "to prove" statement.
Problems 15-20
This is a variation of the letter game of Example 3. Start with the given statement and use the postulates of this problem, one at a time,until the result is the "to prove" statement.
Problems 21-24
You can set up one truth table to answer all of these questions. Let p: I am a knave and q: He is a knight. Write a truth table showing all four possibilities for p and q.
Problems 25-30
These are one-of-a-kind problems, somewhat akin to Example 7. You need to think about each of these, and when you think of the answer you will have a "gee-whiz" moment.

Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

There are many sources for homework help on the internet.

Algebra.help
Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
http://www.algebrahelp.com/

Ask Dr. Math
Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32