Graphing Systems of Inequalities

So far in this inequalities unit, we have learned how to solve inequalities in one variable, and how to solve and graph inequalities in two variables. Now we are ready to move onto graphing systems of inequalities.

This lesson shouldn't be too hard, because we are just going to apply all of our knowledge from graphing linear inequalities to create a system of inequalities.

Let's take a look at our first example.


Example 1

graphing systems of inequalities


graphing systems of inequalities


systems of inequalities






Not too bad, is it? It might help for you to have two different colored pencils if you are practicing along with me. If you don't have colored pencils, then you can draw horizontal lines for one inequality and vertical lines for the other. This will make it easier to see which area contains solutions for both inequalities.

The next example will demonstrate how to graph a horizontal and a vertical line.




Example 2








Ok... ready to try some on your own? If you can, try to use colored pencils or crayons. It will make your graphs easier to read! Gather your materials now, and meet me on the next page! See you there!




system of inequalities practice problems

Click here to try a few systems of inequalities practice problems.






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