Which of the following systems of inequalities would produce the region indicated on the graph below?

The line rising to the right has equation y = x + 2
and the  other one has equation y =  -x + 4

the lines are solid so the inequalities will be <= or >=

in both case  the shading is below so the sign is <=

also x and Y values are both positive  
so the answer is choice  C

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.