Which inequality below will have a dashed boundary line with a shaded area above its graph? a. 7x − y ≤ 3 b. x − y ≤ 4 c. 2x − 9y > 2 d. 4x + 7y > 3

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 thenwe 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.