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
See Examples 2 and 3.
Start with columns headed p
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 20, 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
First identify the p and q for
the problem. Then use Example 4 and the given
tautology to determine if the original statement
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.
Ask Dr. Math
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.
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.
This site provides online graphing calculators. This
is especially useful if you do not have your own calculator.
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
Mathematics Home Page
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