Question 986404
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Step 1:  Graph the linear equation:  *[tex \Large 3x\ +\ 5y\ =\ 15].  Since the original relational operator is <i>strictly</i> less than, use a dashed line for this graph.


Step 2:  Choose a point on the *[tex \Large \mathbb{R}^2] plane that is NOT on the line you just graphed.  Since the line does not pass through the origin, the origin, *[tex \Large (0,\,0),] is an outstanding choice for this step.


Step 3:  Substitute the coordinates of the point chosen in step 2 into the original inequality.  If the result is a true statement, shade the side of the line graphed in step 1 that contains the point chosen in step 2.  Otherwise, shade the opposite 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 \ \ \ \ \ \ \ \ \ \