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.)
• 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.
o Compound inequalities
o And
o Or
o Intersection
o 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.
Sample Solution