Unit 4: Inequalities
You probably use inequalities, just like equations, in everyday life without thinking about it. Every time you go to the store, you need to decide whether you have enough money to pay for the items you need to purchase. The inequality you need to solve is: your amount of money must be GREATER than the total cost of items.
In this unit, we generalize the procedure we use to solve inequalities. We explore which properties of inequalities are the same and which are different from the properties of equations.
Completing this unit should take you approximately 2 hours.
4.1: Definition and Notation of an Inequality
Before we can begin using inequalities in equations and graphing, we need to understand the definition and language of inequalities.
4.2: Graphing Inequalities on a Number Line
When we think about inequalities, it can be helpful to graph them on a number line.
4.3: Solving One-Step Inequalities
We are now ready to begin solving inequalities. In this section we will solve one-step inequalities, and in the next section we will solve more complex inequalities.
4.4: Solving Multi-Step Inequalities
Now we are ready to solve more complex inequalities that require multiple steps.