2y - 4x > 4
First, graph the line 2y - 4x = 4. To graph any line, all you need is two points. To get one point, set x=0 and solve for y:
2y - 4x = 4
2y - 4*0 = 4
2y = 4
y = 2
So one point is (x=0,y=2) or just (0,2). To get the other point, set y=0 and solve for x:
2y - 4x = 4
2*0 - 4x = 4
-4x = 4
x = -1
So the second point is (x=-1,y=0) or just (-1,0). Now you can plot the two points and draw the line through them. Because the inequality is a "greater than" and does not include the "equal to", draw the line as a dashed line because the points on the line are not part of the solution to the inequality.
Think of the line as a border. One side of the line is the solution and the other side is not; but which side is the solution? To find out, just pick a point on one side of the line and plug the x and y values into the inequality. If the inequality is true when you do that, the side of the line that contains the point is the solution side; otherwise the other side of the line is the solution side. Shade in the solution side.
Let's pick (0,0) as our point:
2y - 4x > 4
2*0 - 4*0 > 4
0 > 4
Obviously 0 is not greater than 4, so the side of the line containing the point (0,0) is not the solution side - the other side is the solution side. Click on the link below to see the graphed solution.
http://www.wyzant.com/resources/files/294519/graph_of_2y_4x_4
