Question 527574
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<b>Step 1:</b>  Change the relationship symbol to "=".  Graph the resulting line. If the original relationship symbol was *[tex \LARGE <] or *[tex \LARGE >],  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.

<b>Step 2:</b>  Pick any point on the coordinate plane that <b><i>does not</i></b> 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.

<b>Step 3:</b>  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.

<b>Step 4:</b>  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 <b><i>containing</i></b> the point selected in Step 2.  If you created a false statement, shade in the side of the line that <b><i>does not contain</i></b> the selected point.

John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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