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## Inequality Worksheets

What are Inequalities? Most of the mathematical problems are solved for the exact solutions. We use equals to '=' sign for such answers, to represent that two things or values are equal. However, with some math problems, you only need to tell whether one thing is smaller, greater or equal to something else. Or maybe you only need to tell that two things are not the same. These problems or mathematical cases are known as inequalities. Inequalities are used to tell the relative size of two things. These are also used to represent the relationship between two expressions or numbers. Inequality is used when the value is: Greater than the other value (a > b represents that a is greater than b) Smaller than the other value (a < b represents that a is smaller than b) Not greater than the other value (a ≤ b represents that a is not greater than b, or it is equal or smaller than b) Not smaller than the other value (a ≥b represents that a is not smaller than b, or it is equal to or greater than b) Not equal to the other value (a ≠ b represents that a is not equal to b) Inequalities are often over looked as far as their level of importance in real world math. The truth is that most fields that use inequalities on a daily basis are seen as your more prestigious careers.

### Worksheet Topics

• Creating Equations and Inequalities - You will be given a story-based problem and asked to model the situation with math. Once you complete this section you will quickly realize that you encounter situations like this almost on a daily basis.
• Graphing Linear Inequalities as a Half-Plane - This can be used to help us predict possible outcomes. We show you not only how to visualize these on a graph, but also how to indicate where the answer would logically fall.
• Inequalities and Numbers Lines - A good way to help students understand what an inequality means. Using a numbers line really helps stimulate their brains to think about where this fits in.
• Inequality Constraint or Condition Word Problems - These are used in science to model preset conditions. This topic will help students better understand when this type of data modelling is useful to better understand trends.
• Solve One-Variable Equations and Inequalities - The first step in breaking down these types of problems. This topic really helps students understand the meaning of the data that they are manipulating.
• Solving Equations and Inequalities - These move students into a more complex situation. We are focusing on how to interpret possible solutions and see if they make sense and fit the models that are already in place.
• Solving Linear Equations and Inequalities in One Variable - You are only missing a single piece to solve these. With these problems we are focused on rearranging equations and inequalities to make them work for us.
• Word Problems Leading to Inequalities - In these types of problems, you will be predicting a chance of something happening. You are not looking for a finite solution, but rather a circumstance that agrees with the model.
• Word Problems That Require Equations or Inequalities - You will need to model the situation in order to help you make a predicted outcome. Your end goal is to find a slice of data that satisfies a potential outcome.