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Find the graph of the solution set of the following system of linear inequalities. Drag the points into the correct positions to determine the lines and then drag the shading points to select the
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For the first inequality, y-x-3 ≤ 0, you can add x and 3 to both sides to get y=x+3. For the second inequality, 2x+3y>-6, add 2x to both sides and then divide by 3. That will give you y>
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If one point of a half-plane is in the solution set of a linear inequality, then all points in that half-plane are in the solution set. This gives us a convenient method for graphing linear
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We can start graphing these inequalities just like we would graph an equation. To graph y = -\frac {1} {2}x-2 y = −21x −2, first note that the y y -intercept ( b b) equals -2 −2.
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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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