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6.2/6.3

6.2/6.3. Systems of Two Linear Inequalities. Definitions. Solution region : the overlapping region where the solution regions of the two inequalities intersect No overlap = no solution Solution set : all the points in the solution region. Types of solution sets.

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6.2/6.3

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  1. 6.2/6.3 Systems of Two Linear Inequalities

  2. Definitions • Solution region: the overlapping region where the solution regions of the two inequalities intersect • No overlap = no solution • Solution set: all the points in the solution region

  3. Types of solution sets • Continuous:all the points in the solution region are in the solution set • Shaded regions • Discrete: Only specific points in the solution region are in the solution set • Region with points

  4. Intersecting points • Solid dot – when the intersecting point is part of the solution set • e.g. example 2 • Open dot – when the intersecting point is NOT part of the solution set • e.g. example 1 & 3

  5. Valid? • Check the validity: • Select a point in the solution region. • Plug it into each linear inequality. • Are both inequalities satisfied?

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