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# IM1 Chapter 2

### Graphs, Equations, and Inequalities

Term | Definition |
---|---|

First Differences | determined by calculating the differences between successive points |

Solution | any value that makes the open sentence true |

Intersection Point | the ordered pair that satisfies both functions at the same time |

Solve an inequality | to determine the values of the variable that make the inequality true |

compound inequality | an inequality that is formed by the union, "or," or the intersection, "and," of two simple inequalities |

solution of a compound inequality | in the form, a<x<b, where a and b are any real numbers, is the part or parts of the solutions that satisfy both of the inequalities |

conjunction | a compound inequality of the form a<x<b |

disjunction | a compound inequality of the form x<a or x>b |

opposites | two numbers that are equal distance, but are in different directions, from zero on the number line |

absolute value | its distance from zero on the number line |

linear absolute value equation | an equation of the form a +b|cx + d| + f = g, where a, b, c, d, f, and g are any real numbers |

linear absolute value inequality | an inequality of the form a +b|cx + d| + f < g, where a, b, c, d, f, and g are any real numbers |

equivalent compound inequality | when you separate an absolute value inequality into a compound inequality |

Created by:
cbaumler