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Name:Date:Student Exploration: Systems of Linear Inequalities (Slope intercept form)Vocabulary: linear inequality, system of inequalitiesPrior Knowledge Questions (Do these BEFORE using the Gizmo.)1.
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How to fill out systems of linear inequalities

01
Start by identifying the inequality symbols in the system of linear inequalities.
02
Solve each inequality separately to determine the boundaries of the solution set.
03
Plot the boundaries on a graph and shade the appropriate regions based on the inequality symbols.
04
The region where all shaded regions overlap is the solution set for the system of linear inequalities.

Who needs systems of linear inequalities?

01
Students studying algebra or calculus may need to learn how to solve systems of linear inequalities.
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Engineers and economists use systems of linear inequalities to model real-world scenarios.
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Policy makers and urban planners may use systems of linear inequalities to optimize resources and make informed decisions.

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Systems of linear inequalities are a set of multiple linear inequalities involving the same set of variables.
Any individual or organization who needs to solve problems involving constraints and conditions in the form of linear inequalities.
Systems of linear inequalities are typically filled out by identifying the inequalities, graphing them on a coordinate plane, and shading the appropriate regions based on the constraints.
The purpose of systems of linear inequalities is to find a feasible region that satisfies all the given constraints simultaneously.
The inequalities themselves, the variables involved, and any additional constraints that need to be considered.
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