Question 248600
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Step 1:  Graph the line *[tex \LARGE y\ -\ x\ =\ 6] but graph it with a dashed line instead of a solid line because the inequality is *[tex \LARGE <] instead of *[tex \LARGE \leq].


Step 2:  Select any point that is NOT on the line.  Since the line you just graphed does NOT pass through the origin, (0, 0) is an outstanding choice.


Step 3:  Substitute the coordinates of the point you selected in Step 2 into the original inequality.


*[tex \LARGE \ \ \ \ \ \ \ ]If the result is a true statement, shade in the half-plane containing the point you selected, using the graphed line as a boundary.


*[tex \LARGE \ \ \ \ \ \ \ ]If the result is a false statement, shade in the half-plane that does NOT contain the point you selected.


The shaded area, NOT including the dashed boundary line, is your solution set.


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