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 view the example attached.

Solve the compound inequalities as demonstrated in the example attached.

• 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.
  • Compound inequalities
  • And
  • Or
  • Intersection
  • Union