1. Compound Inequalities

2. What is a Compound Inequality?
A compound inequality consist of two distinct inequalities joined by the word “and” or the word “or”.
Example: All real numbers greater than -3 and less than 2.

3. How to Solve a Compound Inequalities
Step 1: Separate into separate inequalities. Step 2: Solve. Step 3: Combine solutions Step 4: Graph each solution on the same number line.

4. Example
- 3 ≤ m – 4 < -1

5. Let’s Practice… 1. 3 < 2p  3  12 2. 6b  1  41 or 2b + 1  11
Solve and graph each inequality.
1. 3 < 2p  3  b  1  41 or b + 1  11

6. Let’s Practice…
3. 3 > 11+𝑘 4 ≥ -3

7. Let’s Practice…