MAT/222 MAT 222 MAT222 Week 2 – Individual Discussion Question Board – A+ & Original Guaranteed!

MAT 222 MAT/222 MAT222 Algebra

Ashford University

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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 exampleto complete this discussion: 

• According to the first initial of your last name, find the pair of compound inequalities assigned to you in the table below.
  

  If your first initial 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, 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. Respond to at least two of your classmates’ posts by Day 7.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your discussion.

Two-Variable Inequalities

Read the following instructions in order to complete this assignment: 

1. Solve problem 68 on page 539 of Elementary and Intermediate Algebra, and make sure to study the given graph.  For the purposes of the assignment, it would be helpful to copy the graph onto your own scratch paper. 
2. Write a two to three page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example and be concise in your reasoning.  In the body of your essay, please make sure to include:
   • An answer to the three questions asked about given real-world situation.

       

   • An application of the given situation to the following two scenarios:
     • The Burbank Buy More store is going to make an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the same 18-wheeler? Describe the restrictions this would add to the existing graph. 
     • The next day, the Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck?  Describe the restrictions this would add to the original graph.
3. An incorporation of the following 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.):
   • Solid line
   • Dashed line
   • Parallel
   • Linear inequality
   • Test point

The paper must be at least two pages in length and formatted according to APA style. Cite your resources in text and on the reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.