# One-Variable Compound Inequalities "and" "or"

*label*Algebra

*timer*Asked: Mar 27th, 2015

**Question description**

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 as demonstrated in
*Elementary and Intermediate Algebra*and the Instructor Guidance in the left navigation toolbar. 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.

- 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

**250 words in length.**Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.