Systems of Inequalities

This section has the following videos:

  • Lesson Video
  • Example Set A Practice Problems (Video Solutions)
  • Example Set B Practice Problems (Video Solutions)
  • Example Set C Practice Problems (Video Solutions)
  • Example Set D Practice Problems (Video Solutions)
  • DOWNLOAD the Practice Problem Worksheet Here (the videos below explain the solutions to the problems)

Before taking on a system inequality problem you should ask yourself:  can I solve a system?  can I do a basic linear inequality problem? If you answer yes to both of these questions then you should have no problem- systems of inequalities are easy if you have those other skills down.  Below are some notes that outline what you need to do.  Let me add that when you need to figure out what side of the line to shade test the point (0, 0) into each inequality then determine if the statement is true or false.  If the result of plugging in (0, 0) produces a true statement shade towards (0, 0) if  the statement is false shade away from (0, 0).   The borders of the lines follow the same rules as linear inequalities…(good luck)