# One-Variable Compound Inequalities

**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. Read the following instructions in order and view the example to complete this discussion.

**-9 < -1 + 4x < 15 8 – x > 15 or 6x – 13 > 11**

- 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

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