**Problems 1-2**

Being able to adequately answer both of these questions is essential to being able to solve inequalities. Look at the essential ideas for the answers.
Problems 3-16

See Example 1.

Make sure the variable is on the left in order to easily graph the solution. The symbol is “<” then the solution is to the left; if it is”>”, then the solution is to the right. The endpoints are not included for these symbols. If the inequality symbol is less than or equal to or greater than or equal to, then include the endpoint.

Remember, the inequality symbol reversed if you multiply or divide by a negative number, or if you reverse the right and left sides.
Problems 17-40

See Example 2. Solve each inequality as you would solve an equation, except for these make sure the variable is on the left and if you multiply or divide by a negative, the inequality is reversed. Also, reverse the inequality if you interchange the left or right sides.
Problems 41-50

See Example 2. Solve each inequality as you would solve an equation, except for these make sure the variable is on the left and if you multiply or divide by a negative, the inequality is reversed. Also, reverse the inequality if you interchange the left or right sides.
Problems 51-54

Remember, if an expression,

Translate each of these into symbols and then solve the algebraic inequality.

Finally, be sure to answer word problems using words in sentence form.
### 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 linksĀ 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**

Being able to adequately answer both of these questions is essential to being able to solve inequalities. Look at the essential ideas for the answers.

See Example 1.

Make sure the variable is on the left in order to easily graph the solution. The symbol is “<” then the solution is to the left; if it is”>”, then the solution is to the right. The endpoints are not included for these symbols. If the inequality symbol is less than or equal to or greater than or equal to, then include the endpoint.

Remember, the inequality symbol reversed if you multiply or divide by a negative number, or if you reverse the right and left sides.

See Example 2. Solve each inequality as you would solve an equation, except for these make sure the variable is on the left and if you multiply or divide by a negative, the inequality is reversed. Also, reverse the inequality if you interchange the left or right sides.

See Example 2. Solve each inequality as you would solve an equation, except for these make sure the variable is on the left and if you multiply or divide by a negative, the inequality is reversed. Also, reverse the inequality if you interchange the left or right sides.

Remember, if an expression,

*E,*is positive, write

*E*> 0; if it is negative, write

*E*< 0.

Translate each of these into symbols and then solve the algebraic inequality.

Finally, be sure to answer word problems using words in sentence form.