**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 *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.

**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 *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.

**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/

**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/