I have really been trying to find some examples of non-linear inequality situations, along the lines of linear programming. Not as easy. But, you can have inequalities that are NOT linear, so I thought I would explore these today just to make sure we are well-rounded in our inequalities experiences this week.

Obviously, there are the bare-naked types of situations, where students are given linear and non-linear inequalities to graph and then describe the solution set (or solve algebraically). The first activity is really just exploring what inequalities are and where the solution sets lie. There will be a look at the graphs and tables and just making sense of the different regions when you have a system of inequalities.

The second activity is a application problem involving a system of inequalities that uses both a quadratic and a linear relationship. Students use the graphs and intersection areas to describe the possible solutions to a construction problem. They use perimeter and area to come up with the length and width ranges to build a dog park.

Here are the links to the two activities and the video overview that walks through each activity briefly:

- Inequalities Graphing – Linear and Non-linear
- Systems of Inequalities – Going to the Dogs
- Video Overview – Graphing Linear & Non-linear Inequalities and Solving Systems

The tool being used in these mini-math lessons is the FREE web-based math software, ClassPad.net.

*Remember – if you want to save and/or modify any of these activities, create a free account. Some useful links below:*

*How to create a free ClassPad.net account (for anyone – students, parents, teachers)**How to organize activities & share activities**Some Ready-to-use activities that are already out there**ClassPad.net YouTube Channel*