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# Chapter 5

### System

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

Inequalities | Less than or equal to: closed dot. greater than or less than: open dot. |

Compound sentence | 4<x and x<8 n is a negative integer and n >-5 A<12 or A<65 x=9 or x=-3 |

Properties of Inequality | Addition: If a<b then a=c < b+c Multiplication: If a<b and c>0 then ac<bc or If a<b and c<0 then ac>bc |

Solving inequalities | 2m+57>113 -57 -57 2m>56 m>28 |

Solution set for a system | {y=7x-3 {y=6x+2 |

Two linear equations | {6x+12=5 { y=2-10x 6x+12(2-10x)=5 6x+24-120x=5 -114x=-19 x=1/6 y=2-10(1/6) y=2-10/6 y=2/6 =1/3 {1/6, 1/3} |

Linear combinations with sysy=tems of two equations | { x+y=9 { 2x-y=2 __________ 3x =11 x =11/3 or 3 2/3 11/3+y=9 y=16/3 |

Inverse matrix theorem | If ad-bc not equal 0, the inverse of [a b] [c d] [d/ad-bc -b/ad-bc] [-c/ad-bc a/ad-bc] |

Created by:
sydneywisniewski