fdundo wrote:
Attachment:
#greprepclub a+b or p+q.png
Quantity A |
Quantity B |
a +b |
p+q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
We can determine that the equation of the line is: y = -x
So, every point ON the line satisfies the equation y = -x
Also notice that the line divides the xy plane into TWO regions.
All points in the TOP region are such that y > -x
And all points in the BOTTOM region are such that y < -x
The point (p, q) in the BOTTOM region, which means q < -p
If we add p to both sides, we get: p + q < 0
In other words, (p + q) is
some NEGATIVE valueThe point (a, b) in the TOP region, which means b > -a
If we add a to both sides, we get: a + b > 0
In other words, (a + b) is
some POSITIVE valuewe get:
Quantity A: some POSITIVE value
Quantity B: some NEGATIVE value
Answer: A
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep