Solving
Compound Inequalities
A compound inequality has more than one inequality sign. Solving a compound inequality is similar to solving regular inequalities, except that it has three or more "parts". So, when a number is added, subtracted, multiplied or divided it is done to all of the parts separated by the inequality symbols.
Example Solve 10 < 3x + 4 < 19.
Step 1. Subtract 4 from all "parts".
![C-ex1 C-ex1](https://claregladwinresd.glk12.org/pluginfile.php/2145/mod_book/chapter/4409/Linear/images/C_ex1.png)
Step 2. Divide all sides by 3. Since 3 > 0, there is no symbol change.