Project #34826 - One-Variable Compound Inequalities

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:

 

Your “and” compound inequality is

-16 ≤ 2 + 9x ≤ 11

Your “or” compound inequality is

12 – x > 15 or 4x – 13 > 7

 

  • Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar, being 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 as 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. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.

Subject Mathematics
Due By (Pacific Time) 07/10/2014 03:00 pm
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