SOLUTION: Hello, I have been having trouble trying to solve the following quantitative comparison question. Could you show me both the answer and how to solve it step-by-step? I would really

Algebra ->  Test -> SOLUTION: Hello, I have been having trouble trying to solve the following quantitative comparison question. Could you show me both the answer and how to solve it step-by-step? I would really      Log On


   

Question 1117772: Hello, I have been having trouble trying to solve the following quantitative comparison question. Could you show me both the answer and how to solve it step-by-step? I would really appreciate the help :)
-10%3Cx%2By%3C10
+5%3Cx%3C10+
Quantity A: y
Quantity B: -15
Select one of the following:
a. Quantity A is bigger.
b. Quantity B is bigger.
c. Both are equal.
d. the relationship cannot be determined by the information given.
Thank you very much for your time.
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is on the low end of its range, then

If is on the high end of its range, then

Which means that

And that means that you have absolutely no idea of the relationship between and the number

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
    


    The strip  -10 < x + y < 10  between the red and the green lines, and

    the strip  5 < x < 10  between the blue and the magenta lines.


The set of solutions to the given inequalities is the area of the parallelogram (between the four lines) 
which you see in the figure (the interior area of the parallelogram).


The solution points can be located above, on and/or below the horizontal straight line y = -15.


So the answer to the problem's question is 


          "the relationship cannot be determined by the information given."