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 example (available for download in your online classroom) to complete this discussion.
Please complete the following problems according to your assigned number. (Instructors will assign
each student their number.)
If your assigned
compound inequality is:
Your “or” compound
37 –9 < –1 + 4x < 15 8 – x > 15 or 6x – 13 > 11
• 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
• 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
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.
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