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.