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Solving Systems of Inequalities by Graphing This lesson combines two skills, modeling inequalities as regions of the coordinate plane and solving systems of linear inequalities. The region modeled by an inequality has a boundary line. Rewriting the inequality as an equality describes that boundary line algebraically. For a system of two ...
To sketch a graph of a linear inequality, follow these simple steps. 1. Sketch the graph of the corresponding Linear equation using a dashed line for < or > and a solid tine for or ž. Thus, separating the coordinate plane into two half planes. 2. Pick a point in each of the half planes and test each to find which one is a solution to the ...
24 Αυγ 2020 · The solution of a system of linear inequalities is shown as a shaded region in the \(xy\)-coordinate system that includes all the points whose ordered pairs make the inequalities true. How to solve a system of linear inequalities by graphing. Graph the first inequality. Graph the boundary line.
3.3 To graph a system of linear inequalities, do the following for each inequality in the system: • Graph the line that corresponds to the inequality. Use a dashed line for an inequality with<or>and a solid line for an inequality with≤or≥.
Determine whether an ordered pair is a solution of a system of linear inequalities; Solve a system of linear inequalities by graphing; Solve applications of systems of inequalities
Graphing a System of Linear Inequalities STEP 1 Graph each inequality. STEP 2 Find the intersection of the half-planes. The graph of the system is this intersection. REVIEW GRAPHING INEQUALITIES You may want to review graphing a linear inequality in two variables before graphing systems of inequalities.
Justify your answer. 8 Graph the following system of inequalities on the set of axes below: −2y < 3x + 12. Label the solution set S. x ≥ −3. Allison thinks that (2,−9) is a solution to this system. Determine if Allison is correct. Justify your answer. 9 Given: 3y − 9 ≤ 12.
