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Lesson: Two-Variable Quadratic Inequalities Mathematics

In this lesson, we will learn how to represent solutions to quadratic inequalities in two variables graphically.

Lesson Plan

Students will be able to

represent two-variable quadratic inequalities graphically,
identify quadratic inequalities from their graphical representations,
use graphical representations of two-variable quadratic inequalities to solve real-world problems.

Q1:

Write the inequality that represents the shaded area of the following graph.

Q2:

Which of the following is the graph of the inequality ?

Q3:

Graph the equation and, using this graph, shade the solution of the inequality .