Intermediate Algebra
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. Please complete the following problems according to your assigned number.
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If your assigned number is:
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Your "and" compound inequality is:
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Your "or" compound inequality is:
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21
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-2 < 26 + 7x ≤ 4
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3x + 8 > 0 or - 2x ≥ 4
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• Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance 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.
• 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.