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# Kathrine's Stacks

### Module 9 Absolute Value Equations and Inequalities

A union between two absolute value inequalities is denoted by what symbol? U
Define absolute value The absolute value of a number is that number's from zero distance when it is plotted on a number line
If you multiply or divide both sides of an inequality equation by a negative number, what must you do to the inequality symbols? You must reverse the inequality symbols.
What is the first thing you must do when solving an absolute value equation? You must always first isolate the absolute value.
An absolute value expression must always be a non-negative expression. Meaning it can equal zero, or it can equal any positive number, but it can never equal a negative number.
How do you isolate the absolute value in an absolute value expression or inequality? You isolate the absolute value by moving all other terms to the other side of the equal or inequality sign.
If "a" is a positive number, how many solutions are there? There will always be two solutions
How many solutions are there when an isolated absolute value equals a negative number? None, there are no solutions.
When are two absolute value expressions equal to each other? When the two absolute value expressions are equals or opposites to each other.
True or False: An absolute value expression can equal zero? No
Created by: katcochran