Dashed boundary line means there is no equal sign in the problem. That eliminated the first two. Shaded above means it is greater than...
Now turn your inequalities into y = mx + b form
2x - 9y > 2 --- subtract 2x from both sides
-9y > -2x + 2 -- divide by -9...and change inequality sign
y < 2/9x - 2/9 this says y is less then.....we need greater then...this is not it
try the next one...
4x + 7y > 3 --- subtract 4x from both sides
7y > 4x + 3 -- divide by 7
y > 4/7x + 3/7
this says y is greater then...this is the one we want
The answer to your question is D. I hope that this is the answer that you were looking for and it has helped you.