Steps for Graphing Systems of Inequalities. Graph the boundary line for the first inequality. Use a test point to determine which half plane to shade. Shade the half plane that contains the solutions to the first inequality. Graph the boundary
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Let us use y − x since we have already graphed each of them. The purple area shows where the solutions of the two inequalities overlap. This area is the solution to the
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The graph shows that the origin, (0,0) (0,0), is in the triple-shaded area and thus is a solution to the system. Substituting the coordinates of the origin into each inequality should
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