Objective

• This experiment is designed to help students become familiar with the general approach for solving systems of quadratic inequalities: finding the overlapped region of individual solutions.

  The following specific system is used in this experiment:

                  y < 0.5x - 1
                  y > ax² + bx + c

  in which each of the parameters "a", "b", and "c" can be changed to a desired value.

User´s Guide

• Use sliders "a", "b", and "c" to change the value of the respective parameter.

1. Drag the slider bar "a" from left to right and from right to left to observe how this will change the solution to the inequality y > ax² + bx + c. How does this impact the overlapped region?

2. Repeat the experiment by changing the value of "b" or "c" or any combination of "a", "b", and "c".