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

Step 2. Divide all sides by 3. Since 3 > 0, there is no symbol change.