Question:
Determine the type of boundary line and shading for the graph of the inequality 2x + y > 4.
Answer Choices:
A. Dashed line with shading on the side that includes the origin
B. Solid line with shading on the side that does not include the origin
C. Dashed line with shading on the side that does not include the origin
D. Solid line with shading on the side that includes the origin
Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.
