Graph Systems of Linear Inequalities
Evaluating if a coordinate pair represents the solution to a system of inequalities. Solving systems of inequalities by graphing and recognizing systems of inequalities with no solutions. Writing a system of inequalities given a graph.
Mapped to CCSS Section# HSA.REI.C.6, HSA.REI.D.11, HSA.REI.D.12
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
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