Question

graph3

Answer 1

y ≤ 3x + 4 and
x + y ≥ -1
Subtracting x, the second equation becomes
y ≥ -x - 1

Looking at the graph, we see that one of them has a REALLY positive slope (3) so one of the graphs will be steep, and the other has a negative slope so it will be going downwards. There are only two options that satisfy this, options A and B.
y ≥ -x - 1
Tells us that the shaded region must be above the line, since it's greater than (check this with a point if you don't believe me). Looking at the negative line, option A, and option B, we now just need to see where it's shaded. Graph B is shaded above the negative line, so it is the answer.

B.

Answer 2

I finally saw that point (-6, 10) is in the solution set of graphs B also.

B.