choose the system of inequalities whose graph corresponds to the figure?

Question

http://s194.photobucket.com/albums/z4/dbrine/?action=view¤t=t4q8.png

Answer 1

The answer is b.

Note that the upper line contains (0,5) & (2,3).
That line is x+y = 5. Then choose a test point in the region: say (0,4): 0+4 < 5. Since the line is not dotted/ broken, the equality is also included.
Thus the upper line is x+y ≤ 5.

Now, the other line contains (0,1) & (2,3) and the line is broken.
The equation of the line is y = x+1 or -x+y = 1.
Choose the test point (0,2) : 0 + 2 > 1
Thus -x+y > 1. d:

Answer 2

b is true

intersection point is true.
shaded area satisfies origin point (0,0)

upper line is full
intersection points are true.

lower line is not include and upper side
intersection points are also true

Answer : b