SOLUTION: Determine the type of boundary line and shading for the graph of the inequality -3x + y > 6. Dashed line with shading on the side that includes the origin. Solid line with

Question 698432: Determine the type of boundary line and shading for the graph of the inequality -3x + y > 6.
Dashed line with shading on the side that includes the origin.
Solid line with shading on the side that does not include the origin.
Dashed line with shading on the side that does not include the origin.
Solid line with shading on the side that includes the origin.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The inequality sign does NOT have a line under it. So the line isn't solid, so it must be dashed.

The origin is not in the solution set because if you plug in (0,0) you get

-3x + y > 6

-3(0) + 0 > 6

0 + 0 > 6

0 > 6

Which is false. So that shows why (0,0) is not in the solution set. So the origin is not in the shaded region.

That points us to the answer of choice C
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