# One-Variable Compound Inequalities "and" "or"

Anonymous

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 as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar. 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.

• 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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