Explore the solutions of a linear-quadratic and quadratic-quadratic system of inequalities.

• Describe the solution to a linear-quadratic and quadratic-quadratic system of inequalities from a geometric perspective
• Write the solution to a linear-quadratic or quadratic-quadratic system of inequality as a compound inequality
• Generate quadratic-quadratic systems of inequalities with specific types of solutions

• linear
• quadratic
• system of inequalities

In this lesson, manipulate sliders to explore the solutions of a linear-quadratic and quadratic-quadratic system of inequalities. As a result, students will:

• Solve linear-quadratic and quadratic-quadratic systems of inequalities from a geometric perspective.
• Make conjectures about solutions of linear-quadratic and quadratic-quadratic systems of inequalities and verify their conjectures by manipulating sliders.
• Generate quadratic-quadratic systems of inequalities with specific types of solutions.