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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 examplePreview the documentView in a new window  (available for download in your online classroom) to complete this  discussion. Please complete the following problems according to your  assigned number. (Instructors will assign each student their number.) 

  

  • Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra  and the Instructor Guidance in the left navigation toolbar, in your  online course. Be careful of how a negative x-term is handled in the  solving process. Show all math work arriving at the solutions.
  • my two questions are as followed

 –1 ≤ –3 + 2x < 17 

 7 – x ≥ 6   or   7x – 1 > 27 

  • 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, in your online course.

  • 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

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