Problems 1-4

You may find these a bit more difficult that usual, so you might need to allocated a bit of extra time to do these.
Problems 5-6

You need to read all of the signs. In part b of each of these problems, there is a disagreement between the middle and lower signs.
Problems 7-14

See Examples 2 and 3.

Start with columns headed

Fill in all possible outcomes; namely T, T; T, F; F, T; and F, F.

Next, label the columns, one at a time. For Problem 8, the next column should be headed “
Problems 15-18

Construct a truth table and then check by looking at Table 3.9.
Problems 19-28

First choose variables for each simple statement.

In Problem 19, let s: smoking is good for your health. Don’t forget to use simple statements (ones that do not include a connective, such as “and”, “or”, or “not.”

Let

Next, translate: neither

Finally, use Table 3.9 to insert the appropriate connectors.
Problems 29-34

First identify the p and q for the problem. Then use Example 4 and the given tautology to determine if the original statement is true.
**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/

You may find these a bit more difficult that usual, so you might need to allocated a bit of extra time to do these.

You need to read all of the signs. In part b of each of these problems, there is a disagreement between the middle and lower signs.

See Examples 2 and 3.

Start with columns headed

*p*,

*q*.

Fill in all possible outcomes; namely T, T; T, F; F, T; and F, F.

Next, label the columns, one at a time. For Problem 8, the next column should be headed “

*~q*“, followed by “

*p and q “,*“

*p implies ~q*“, and finally the compound statement given in the problem.

Construct a truth table and then check by looking at Table 3.9.

First choose variables for each simple statement.

In Problem 19, let s: smoking is good for your health. Don’t forget to use simple statements (ones that do not include a connective, such as “and”, “or”, or “not.”

Let

*d*: Drinking is good for your health.

Next, translate: neither

*s*nor

*d*is good for your health.

Finally, use Table 3.9 to insert the appropriate connectors.

First identify the p and q for the problem. Then use Example 4 and the given tautology to determine if the original statement is true.