Question 992284
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1.  Graph the line *[tex \Large y\ =\ -x\ +\ 3], using a solid line because the original equality is inclusive of equality and points on this boundary line are therefore included in the solution set of the inequality.


2.  Choose a point on the plane that is NOT on the boundary line.  Since the line described in step 1 does not pass through the origin, the point (0,0) is a very good (read "Low impact arithmetic") choice for this point.


3.  Substitute the coordinates of the point chosen in step 2 for *[tex \Large x] and *[tex \Large y] in the original inequality. If the result is a true statement, then shade in the half-plane on the side of the line that CONTAINS the chosen point.  Otherwise, shade in the other side of the line.


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

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \