Question 282304
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Step 1:  Graph the line *[tex \Large y\ =\ -x] but graph it with a dashed line instead of a solid line.


Step 2:  Pick any point on the *[tex \Large R^2] plane that is NOT on the line you just graphed.  Generally speaking, the origin, (0,0), is a good choice.  But in this case (0,0) is on the line, so you can't use it.  In this case, I'd recommend using (1,1).


Step 3:  Substitute the values of the coordinates you just selected into the original inequality.  If you create a true statement, then shade in the half-plane that contains the point selected.  If you create a false statement, shade in the other side.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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