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 halfplane (the feasible point) to shade, choose a test point and substitute the xvalue
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 halfpane
that includes the point (0,0) is shaded.
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 Spring '10
 Arabhi,Sundararajan
 Math, Elementary algebra, Negative and nonnegative numbers, Binary relation, Inequation

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