Systems of Linear Inequalities

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Presentation transcript:

Systems of Linear Inequalities Skill 44

Objective HSA-REI.6(2): Solve systems of linear equations exactly and approximately, with graphs, focusing on pairs of linear equations in two variables.

A system of linear inequalities is a set of two or more linear inequalities with the same variables. The solution to a system of inequalities is often an infinite set of points that can be represented graphically by shading. *When you graph multiple inequalities on the same graph, the region where the shadings overlap is the solution region.

Example: Graphing Systems of Inequalities y ≥ –x + 2 y < – 3

Example: Graphing Systems of Inequalities y < –3x + 2 y ≥ –1

Do It Yourself: Example; Graph the Inequalities 2x + y > 1.5 x – 3y < 6

Do It Yourself: Example; Graph the Inequalities 2x + y < 1

#44: Systems of Linear Inequalities Questions Summarize Notes Homework Google Classroom Quiz