One-Variable Compound Inequalities “and” “or”
One-Variable Compound Inequalities “and” “or”
In this discussion, you will be demonstrating your understanding of compound inequalities and the effect that dividing by a negative has on an inequality. Please find the pair of compound inequalities assigned to you in the table below
Problem #1 Your “and” compound inequality is: -16 ≤ 2 + 9x ≤ 11
Problem # 2 Your “or” compound inequality is 12 – x > 15 or 4x – 13 > 7
- Solve the compound inequalities. 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
Your initial post should be at least
250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.