Question 240128
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Step 1:  Graph the equation *[tex \Large y\ =\ -2x\ +\ 3] except that since the original inequality has a *[tex \Large >] symbol rather than a *[tex \Large \geq] symbol, construct the graph using a dashed 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 dashed, points on the line are NOT included in the solution set.


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