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One-Variable Compound Inequalities

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. Read the following instructions in order and view thee MAT222 Week 2 Discussion Example to complete this discussion.

Your “and” compound inequality is:

5 ? –3x – 2 < 8 Your “or” compound inequality is: 5x ? 15 or –x – 6 < 1 · 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.

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