In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality

Your “and” compound inequality is -4 ≤ 3 + 7x < 24

Your “or” compound inequality is 5 – x ≥ 7 or 8x – 3 > 29

- Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar, being 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 as demonstrated in the Instructor Guidance in the left navigation toolbar.

- 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

**Subject Exam Prep ACT - Mathematics**