Determine the type of boundary line and shading for the graph of the inequality y

Question

Determine the type of boundary line and shading for the graph of the inequality y < greater than or equal to  2x + 4
 	
	Solid boundary line with shading on the side that does not include the origin.
	Dashed boundary line with shading on the side that includes the origin.
	Solid boundary line with shading on the side that includes the origin.
	Dashed boundary line with shading on the side that does not include the origin.

anonymous · Answer

I'd break it down. Because the statement has an equality component, the line should be solid. That eliminates half of the choices. :-)
Then, work with the origin statement. The origin is (0,0), where x = 0 and y = 0. So substitute 0 for x and 0 for y in the statement and see if it's true or not. If it is, then the origin should be included in the shading. If the substitution leads to a false statement, then the origin should not be included  in the shading.
Hope that helps?

anonymous · Answer

So it's the first one..?

anonymous · Answer

I'm having trouble reading the symbols. When you substitute the origin values, I think you get: 
"0" greater than or equal to 2(0) +4
simplifying it would be "0 is greater than or equal to 4"
that's false

anonymous · Answer

false means the origin wouldn't be included