When students ask which graph represents the solution set of the compound inequality, they are usually staring at a multiple-choice question with four number lines and wondering how to connect the algebraic statement to the correct picture. A compound inequality combines two separate inequalities into one statement, and its solution set is not just a single number but a range—or sometimes two separate ranges—of values. Understanding how to read, solve, and graph these inequalities is an essential algebra skill, and it becomes much easier once you recognize the difference between “and” and “or” statements, know how to mark endpoints, and can visualize the overlap or union of solution regions.
What Is a Compound Inequality?
A compound inequality is a mathematical statement that joins two inequalities using the word and or the word or. Instead of solving for one boundary, you are solving for a
