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# Kathrine's Stacks

### Module 9 Absolute Value Equations and Inequalities

Question | Answer |
---|---|

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 |