Build a foundation in inequalities by interpreting comparison symbols, translating phrases such as “at least” and “no more than,” determining whether values belong to a solution set, and seeing why an inequality is satisfied by a range of values rather than a single number.
Solve one-step and multi-step linear inequalities using inverse operations, combining like terms, expanding parentheses, and working with variables on both sides. Learn when to reverse an inequality sign and how to recognize cases where every number or no number is a solution.
Work with compound inequalities joined by “and” or “or,” including chained inequalities. Represent and interpret solutions as inequalities, number lines, and intervals in contexts such as budgets, price comparisons, and threshold alerts.
