One-Variable Compound Inequalities "and" "or"

Mar 27th, 2015
Steve1995
Category:
Algebra
Price: $5 USD

Question description

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

Problem #1  Your “and” compound inequality is:     -16 ≤ 2 + 9x ≤ 11

Problem # 2 Your “or” compound inequality is      12 – x > 15 or 4x – 13 > 7

  • Solve the compound inequalities. 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.
  • 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.

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