I would like an example of an inequality that uses both multiplication and addition properties of inequalities.

Answer 1

I searched Google under the key words "inequality multiply add" to get these possible sources:

http://books.google.com/books?id=dfXeCUXeIDUC&pg=PA28&lpg=PA28&dq=inequality+multiply+add&source=web&ots=08SHKD0yGV&sig=H3fU36j3S3_4WXG0X3OJvoDHWbo&hl=en
http://www.analyzemath.com/Linear_Inequalities/Linear_Inequalities_Tutor.html
http://library.thinkquest.org/20991/alg2/eq.html
http://tutorial.math.lamar.edu/Classes/Alg/SolveLinearInequalities.aspx
http://www.sparknotes.com/testprep/books/sat2/math1c/chapter5section6.rhtml

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search.

I hope this helps. Thanks for asking.