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A.REI.D.12: Graphing Systems of Linear Inequalities 1 www.jmap.org 4 9 Given: 3y−9 ≤12 y<−2x−4 Graph the system of inequalities on the set of axes below. State the coordinates of a point that satisfies both inequalities. Justify your answer.
Steps for Graphing Linear Inequalities and a System of Linear Inequalities. 1.) Solve each inequality for y. DON’T FORGET: Flip the sign if you multiply or divide by a negative number! 2.) Graph each line. > < _________ line. ≥ ≤ _________ line. 3.)
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
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.
To solve a system of linear inequalities, we will find values of the variables that are solutions to both inequalities. We solve the system by using the graphs of each inequality and show the solution as a graph.
Solve a System of Linear Inequalities by Graphing. The solution to a single linear inequality is the region on one side of the boundary line that contains all the points that make the inequality true. The solution to a system of two linear inequalities is a region that contains the solutions to both inequalities.
4 Αυγ 2018 · HOW TO : :SOLVE A SYSTEM OF LINEAR INEQUALITIES BY GRAPHING. Graph the first inequality. Graph the boundary line. Shade in the side of the boundary line where the inequality is true. On the same grid, graph the second inequality. Graph the boundary line. Shade in the side of that boundary line where the inequality is true.
