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Math_Notes_2

# Math_Notes_2 - Determining if the boundary line should be...

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Determining if the boundary line should be solid or dashed? A solid line should be drawn if the original inequality contains a ≤ or ≥ symbol. A dashed line should be drawn if the original inequality contains a < or > symbol; also the dashed line indicates that the points on the line are not solutions of the inequality Indicating whether the solution region is bounded or unbounded: A solution region of a system of linear inequalities is bounded if it can be enclosed within a circle.0 The solution is unbounded, if it cannot be enclosed by a circle (for the feasible region to be shaded in than out) To determine which half-plane (the feasible point) to shade, choose a test point and substitute the x-value into the inequality. For an example: use the test point (0,0) x ≤ 8 this is the original inequality 0 ≤ 8 Substitute x = 0 Since a true statement results, the test point (0,0) satisfies the inequality. Therefore, the half-pane that includes the point (0,0) is shaded.

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Math_Notes_2 - Determining if the boundary line should be...

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