Question 240460
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Step 1:  Graph the equation *[tex \Large 5x\ +\ 3y\ =\ -9].  Since the original inequality has a *[tex \Large \geq] symbol and therefore the solution set will contain points on the line, construct the graph using a solid line.


Step 2:  Pick a test point that is NOT on the line.  Since this line does not pass through the origin, the point (0,0) is an excellent choice.


Step 3:  Substitute the coordinates from the point you selected in the previous step for the variables in your original inequality.  Perform any necessary arithmetic.


Step 4:  If the result of step 3 is a true statement, shade in the half-plane that contains the test point.  If the result is a false statement, shade in the half-plane that does NOT contain the test point.


Your solution set is the shaded area.  Since the line is solid, points on the line are included in the solution set.


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