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 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.
• my two questions are as followed

 –1 ≤ –3 + 2x < 17 

 7 – x ≥ 6   or   7x – 1 > 27 

• 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