Chapter Overview
This chapter introduces linear inequalities, focusing on the concepts of expressions that use inequality signs like <, >, ≤, and ≥ instead of equality (=). Students learn how to solve and graphically represent inequalities in one and two variables, which is a foundational skill in algebra, optimization, and real-world modeling.
Important Keywords
- Inequality: A mathematical expression showing the relationship between two expressions that are not necessarily equal.
- Linear Inequality: An inequality involving a linear expression in one or more variables.
- Feasible Region: The set of points that satisfy all given inequalities.
- Solution Set: The values of variables that satisfy the inequality.
- Open/Closed Half-Plane: Regions determined by inequalities in two variables, depending on whether the boundary line is included.
Detailed Notes
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