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5 courses
112 practices
7 hours
Master the algebraic solution of linear inequalities. You will learn to interpret symbols, solve multi-step problems, and represent ranges on number lines and in interval notation. Apply these skills to real-world scenarios like budgeting, pricing comparisons, and threshold alerts.
You'll discover what inequality symbols really mean and how to compare quantities with confidence. You'll translate everyday phrases like "at least" and "no more than" into symbols, test whether a value fits a range, and learn to both draw and read inequalities on a number line.
You'll start solving inequalities the same way you solve equations, using inverse operations to isolate the variable. You'll master the one rule that makes inequalities different — flipping the sign for negatives — handle the variable landing on either side, and confidently solve any one-step inequality in any form.
You'll extend your one-step skills to inequalities that need several moves first. You'll combine like terms, expand parentheses, handle variables on both sides, and learn to read the unusual results that mean every number works or no number does.
You'll express inequality solutions in several connected ways. You'll write interval notation, move fluently between inequalities, number lines, and intervals, and interpret what a solution means in everyday situations.
You'll tackle inequalities built from two conditions joined by "and" or "or," and see how each connective shapes a different solution set. You'll solve both types, including three-part chained inequalities, and show your solutions on a number line and in interval notation.
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