An inequality is a math statement that tells us that two values are not equal. Inequalities tell us the one side is greater or less than and sometimes greater and equal and even less than or equal. An absolute value inequality takes it a step further in that it includes at least one side with an definite quantity. This can often change the entire value or outcome of a typical problem. We encourage you to use a number line to display the values you are presented with.

You can't solve the absolute value equation if its value is equal to the negative number. The inequality |x|< 2. You will need to represent the distance between x and 0 that is less than 2. Set aside an definite quantity on the left side of the inequality. If you have value with -ve sign, you will stop the solution and the answer will be real numbers. Use each side of your inequality to select the suitable one. If the value of other side is positive, you will proceed to the next step. You will remove an absolute value bars by setting up a compound inequality. You can use the way of compound inequality by learning the type of inequality sign in the problem. If definite quantity has a greater than sign then, you will set up the compound inequality like this; Expression inside < - (number on the other side) Quantity inside > (number on the other side) You will use the same setup for a ≥ sign. You will set up a three-part compound inequality if your absolute value is less than a number. For example; -(number of other side) < (quality inside) < (number on other side) You will use the same set up for a ≤ sign. Your students will use these worksheets to learn how to solve for variables in absolute value inequalities. While the worksheets cover the methodology, students should be somewhat familiar with the topic.