# Mathematics

In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality. Read the following instructions in order and view the example to complete this discussion. Please find the pair of compound inequalities assigned to you in the table below:

If the first letter of your last name is |
Your “and” compound inequality is |
Your “or” compound inequality is |

A or L | -4 ≤ 3 + 7x < 24 | 5 – x ≥ 7 or 8x – 3 > 29 |

B or K | -16 ≤ 2 + 9x ≤ 11 | 12 – x > 15 or 4x – 13 > 7 |

C or J | -10 < -2 + 8x < 22 | 4x + 7 < 11 or 1 – x ≤ -2 |

D or I | -17 < 3 + 10x ≤ 33 | 5x + 3 ≤ -2 or 13 – x ≤ 6 |

E or H | -1 ≤ -3 + 2x < 17 | 7 – x ≥ 6 or 7x – 1 > 27 |

F or G | -12 < 12 + 4x < 0 | 12 – x > 15 or 7x – 13 > 1 |

M or Z | -1 ≤ 3 + 2x < 11 | 1 – x ≥ -3 or 5x – 1 > 19 |

N or Y | -1 < 4 + 5x ≤ 19 | 2x + 3 ≤ -1 or 10 – x ≤ 5 |

O or X | -4 ≤ 5 + 3x ≤ 11 | 2x + 2 < 2 or 3 – x ≤ 0 |

P or W | -9 < -1 + 4x < 15 | 8 – x > 15 or 6x – 13 > 11 |

Q or V | -10 < -3 + x ≤ 21 | 2 – x ≥ 1 or 6x – 1 > 17 |

R or U | -11 ≤ -5 + 6x < 13 | 3x + 2 ≤ -1 or 11 – x ≤ 4 |

S or T | 0 ≤ 4 + 2x ≤ 22 | 3x + 6 < -3 or 5 – x ≤ 1 |

· Solve the compound inequalities as demonstrated in *Elementary and Intermediate Algebra* and the Instructor Guidance in the left navigation toolbar. Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.

· Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set. This is demonstrated in the Instructor Guidance in the left navigation toolbar.

· Incorporate the following five math vocabulary words into your discussion. **Use **bold font to emphasize the words in your writing (**Do not write definitions for the words; use them appropriately in sentences describing your math work.**):

· Compound inequalities

· And

· Or

· Intersection

· Union

Your initial post should be at least 250 words in length.