**33+ Absolute Value Equations And Inequalities
Background**. This theorem holds true for strict inequalities as well. This algebra video tutorial shows you how to solve absolute value equations with inequalities and how to plot the solution on a number line and write the.

Solving absolute value inequalties with less than. Then solve both the branches. If the absolute value is greater than or greater than or equal to a positive number, set the argument less than the opposite of the number and greater than the number using an 'or' statement in between the two inequalities.

### We just have to separate the equation into two different equations (once we isolate the absolute value), since we don't if note that you can always solve absolute value equations and inequalities graphically, as shown below.

Recall what a double inequality says. If the absolute value is greater than or greater than or equal to a positive number, set the argument less than the opposite of the number and greater than the number using an 'or' statement in between the two inequalities. How tough are absolute value equations and inequalities? In the picture below, you can see generalized example of absolute value equation and also the topic of this web page the diagram below illustrated the difference between an absolute value equation and two absolute value inequalities.