Choose a point on the graph which is clearly on one side of the line or the other.
Place both the x-value and the y-value into the original inequality.
If those values make the inequality true, shade the side of the line that includes that point; if those values don't make the inequality true, shade the other side of the line.
For example:
For the inequality: y > 2x - 7
First, draw the line y = 2x + 7 (making it a dashed line; if the original inequality were y ≥ 2x + 7, you would make a solid line).
Then choose a point that is not on the line: I'll choose the point (1, 5). Put in these values into the original inequality:
Since 5 > 2(1) - 7 ---> 5 > 2 - 7 ---> 5 > -5 is true, shade that side of the line (the upper side).
If I had chosen the point (10, 1) ---> 1 > 2(10) - 7 ---> 1 > 10 - 3 ---> 1 > -7 is false, so I would not have chosen that side (the lower side), and I would have again shaded the upper side.
Specific questions?
