Compound Inequalities

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.

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.

Example - 3 ≤ m – 4 < -1

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  12 2. 6b  1  41 or 2b + 1  11

Let’s Practice… 3. 3 > 11+𝑘 4 ≥ -3

Let’s Practice…