Linear and Quadratic Functions: Solving Linear Equations and Inequalities

section warm up Section Warm-Up

Before we start working with linear equations and inequalities, let’s review graphing inequalities on a number line. For example the graph of x > 2 is

Graph of x > 2
Graph of x > 2

On the other hand, remember that x ≥ 2 is graphed as

Graph of x ≥ 2
Graph of x ≥ 2

Can you tell what the difference is between the two graphs? Why do you think there is a difference? Write up your answers to these questions and keep them handy as we go through this section. The correct answers will appear in this section when you learn how to solve linear inequalities. You will be able to check your work at that time.