One-Variable Compound Inequalities

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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.

Your “and” compound inequality is:

–10 < –3 + x ≤ 21

Your “or” compound inequality is:

2 – x ≥ 1 or 6x – 1 > 17

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.

  • 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

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.