<PRE><B>Question 347163</B>
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Graph each of your inequalities using the following steps.


&lt;b&gt;Step 1:&lt;/b&gt;  Change the relationship symbol to &quot;=&quot;.  Graph the resulting line. If the original relationship symbol was *[tex \LARGE &lt;] or *[tex \LARGE &gt;],  do it with a dashed or broken line.  If your symbol was *[tex \LARGE \leq] or *[tex \LARGE \geq], graph the equation with a solid line.


&lt;b&gt;Step 2:&lt;/b&gt;  Pick any point on the coordinate plane that &lt;b&gt;&lt;i&gt;does not&lt;/i&gt;&lt;/b&gt; lie on the line you just graphed. If the line does not pass through the origin, *[tex \Large (0,0)] then the origin is an excellent choice for this step.  If the line does pass through the origin, select a point other than the origin -- I recommend a point that has small integer coordinates.

  
&lt;b&gt;Step 3:&lt;/b&gt;  Substitute the values of the coordinates of the point chosen in Step 2 for the corresponding variables in the inequality you started with in Step 1.


&lt;b&gt;Step 4:&lt;/b&gt;  Do the appropriate arithmetic to determine whether the substitution created a true statement or not.  If you created a true statement, shade in the side of the line &lt;b&gt;&lt;i&gt;containing&lt;/i&gt;&lt;/b&gt; the point selected in Step 2.  If you created a false statement, shade in the side of the line that &lt;b&gt;&lt;i&gt;does not contain&lt;/i&gt;&lt;/b&gt; the selected point.


Once you have graphed each of the inequalities, the solution set of your system will be where the three shaded areas overlap.  Since all of the inequality signs do NOT include equality, none of the boundary lines are included.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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