Represent solutions and constraints to systems of linear inequalities by graphing

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Represent solutions and constraints to systems of linear inequalities by graphing

In this lesson you will learn how to represent solutions and constraints to systems of linear inequalities by graphing.

ADDITIONAL MATERIALS


STANDARDS

CCSS.HSA-CED.A.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

TEKS.A1.3.G estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and

TEKS.8.8.B write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;

TEKS.A2.3.F solve systems of two or more linear inequalities in two variables; and

TEKS.A1.5.C solve systems of two linear equations with two variables for mathematical and real-world problems.

TEKS.A1.2.H write linear inequalities in two variables given a table of values, a graph, and a verbal description; and

TEKS.A2.3.E formulate systems of at least two linear inequalities in two variables;

TEKS.A1.2.I write systems of two linear equations given a table of values, a graph, and a verbal description.

IN.AI.L.7 Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing.

IN.AII.SE.2 Solve systems of two or three linear equations in two or three variables algebraically and using technology.

IN.AI.SEI.4 Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology.

IN.AI.L.2 Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable.

VA.EI.A.4.e practical problems involving equations and systems of equations.

VA.EI.A.5.c solve practical problems involving inequalities; and

VA.EI.A.4.d systems of two linear equations in two variables algebraically and graphically; and

VA.PFA.6.14.a represent a practical situation with a linear inequality in one variable; and

FL.MAFS.912.A-CED.1.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
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