Unit 5

Systems of Inequalities

Graph and solve systems of linear inequalities. Identify feasible regions, interpret solutions in context, and apply systems of inequalities to real-world optimization problems.

Unit 5 · 7 pages

Chapters

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Cover

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 5 Systems of Inequalities.

5.1

Introduction to Systems of Inequalities

Understand what a system of inequalities is, graph individual inequalities, and identify the solution region where all inequalities are satisfied simultaneously.

5.2

Graphing Systems of Inequalities

Graph systems of two or more linear inequalities on the coordinate plane. Identify the feasible region and determine whether given points are solutions.

5.3

Writing Systems of Inequalities

Write systems of inequalities from graphs, word problems, and real-world constraints. Interpret the meaning of the feasible region in context.

5.4

Special Cases: No Solution & Unbounded Regions

Identify systems of inequalities with no solution (empty feasible region) and systems with unbounded solution regions. Analyze boundary lines and shading.

5.5

Applications of Systems of Inequalities

Apply systems of inequalities to real-world problems including budget constraints, mixture problems, and linear programming scenarios.

5.6

Unit Review

Review all Unit 5 Systems of Inequalities topics before the unit assessment.

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