sandy wrote:
\(x^2 > y^2\) and \(x > -|y|\)
Quantity A |
Quantity B |
x |
y |
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.
\(x^2>y^2\) means \(|x|>|y|\)..
This means x is farther away from 0 as compared to y..
So there can be four ways...
x....y....0
X.............0....y
0....y....x
y....0.............x
So if x>0 then x>y , but if x<0, then x<y...
So the relationship depend on the SIGN of x..
Now next we are given x>-|y|
Let us check the four cases
x....y....0. => If x<0 then x>-|y| is not true as -|y| >0.
X..........0....y => If x<0 then x>-|y| is not true as -|y| <0, but -|y| will be closer to 0.
0....y....x => If x>0 then x>-|y| is possible.
y....0..........x => If x<0 then x>-|y| is again possible..
In both the cases that are possible, x>y..
Hence A