02.06 Compound Inequalities Essential Questions How can you create inequalities in one variable and use them to solve problems? How can you represent constraints by inequalities? How can you interpret solutions as viable or nonviable options in a modeling context? Absolute Value Inequalities: Absolute Value Inequalities are problems that involve ranges. For example: On public stairs, handrails must be installed. The height of the handrails must be within a 3 inch range of 35 inches. Compound inequality Key words ?and? / ?or? Scenario 1 A fish has to measure between 18 and 24 inches in length. b>= 18 and b<=24 Writing the compound inequality like this makes it easier to understand that the solutions for b must fall between 18 and 24 inches Scenario 2