One-Variable Compound Inequalities Academic Essay

If your assigned number is: Your “and” compound  inequality is: Your “or” compound inequality is:
4 –18 < 4x + 2 ≤ 30 3x – 7 > –10   or   5x + 2 ≤ 22

 

 

  • Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebraand 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.
  • 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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