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# chapter 6 vocab

### algebra 1 Mr. Stepp chapter 6 vocab

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

Addition property of Inequalities | If any number is added to each side of a true inequality, the resulting inequality is also true example: 2 < 7 2+6 <7+6 8<13 |

Division Property of Inequalities | If each side of the inequality is divided by the same positive number, the resulting inequality is also true. Example: if a>b, then a/c>b/c, and if a |

Half-Plane | any line in the plane divides the plane into two regions called half-planes. The line is called the boundary of each of the two half-planes. |

Intersection | the graph of a compound inequality containing and;the solution is the set of elements common to both inequalities |

Multiplication Property of inequalities | If each side of a true inequality is multiplied by the same positive number, the resulting inequality is also true. example: if a>b the ac>bc, and if a |

Set-Builder Notation | A concise way of writing a solution set. For example, {t|t<17} represents the set of all numbers t such that t is less than 17 |

Union | The graph of a compound inequality containing or; the solution is a solution of either inequality, not necessarily both. |

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