Main Topics
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Solving linear and quadratic inequalities
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Interval notation and solution sets
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Sign charts and test-point methods
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Graphical representation of inequality regions
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Real-world constraint and optimization applications
Key Skills
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Solve and express inequalities algebraically and graphically
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Analyze where functions are positive or negative
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Interpret inequality solutions in context
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Model practical limitations using inequalities
Inequalities
Summary
Students learn to solve and graph linear, quadratic, and rational inequalities. They interpret solution sets in both algebraic and graphical form. This unit strengthens logical thinking by requiring students to consider multiple conditions simultaneously. It also connects to real-world problems involving ranges or limitations (e.g., financial constraints, feasible regions).
Suggested Activities
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Number-line graphing practice
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Applied constraint word problems
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Group activity on optimization within constraints
