## Discussion

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### Compound Inequalities

A compound inequality combines two inequalities using either “and” or “or”. First solve each inequality separately. If “and” was used, the solution set is the set of all numbers in both solution sets of the two inequalities. If “or” was used, the solution is all numbers in either or both of the solution sets of the two inequalities.

The solution of a compound inequality can be found by simplifying each inequality algebraically and then graphing the simplified inequalities.

Describe the solution set of a compound inequality using either a number line or set builder notation.

### Compound Inequalities

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Inequalities Combined by 'And' 0:12
- Three Ways to Write Solution Set
- Set Notation
- Inequalities
- Graph
- Examples
- Inequalities Combined by 'Or' 4:45
- Example
- Lecture Example 1 7:40
- Lecture Example 2 10:55
- Additional Example 3
- Additional Example 4

1 answer

Last reply by: Mya McCulloch

Fri Aug 31, 2012 11:34 AM

Post by Eduardo Arriaza on March 26, 2011

Wouldn't 4.5 satisfy this inequality?