This document provides instructions for solving quadratic inequalities and graphing them on a number line. Learners are asked to solve four linear inequalities and graph the solutions on a number line. They are then introduced to solving quadratic inequalities and using graphs of quadratic functions to help determine the solution sets of inequalities involving quadratic expressions. Learners are asked to graph two quadratic functions and use colored pencils to show the solution regions for an inequality involving those functions.
2. Explore: Inequalities with one variable
Launch: Solve the following inequalities
and graph on a number line:
Example: -2x – 3 < 4
1. x - 1 > 3
2. 2x < 4
3. 9x – 25 < 29
4. -2(x-8)< 6
3. Explore: Solving quadratic
inequalities
How can the graphs of y = 2x2 + 5x – 3 and y = x2+ 4x + 3 help
you to solve an inequality? Consider this as
you answer the questions below .
a. Draw the graphs and use colored pencils to show your
answers
b. Label each graph with its equation
b
