Hi guys,
Please help me with this one
Is /x/>/y/?
1) x^2>y^2
2)x>y
[spoiler] OA: A[/spoiler]
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GMATprep: absolute value
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ssmiles08
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Choice 1 tells us that x^2 > y^2
Lets test theories: lets say x = -6; y = 5
(-6)^2 = 36; (5)^2 = 25
36 > 25
|-6| = 6; |5| = 5
so is 6>5 ?---> yes.
As long as you satisfy the first condition, you can plug any number irregardless of the sign, and |x| will always be greater than |y|
Choice 1 works.
Choice 2 will not work. Lets take 2 examples.
x = 5; y = 3
|5| > |3| ? ---> yes
if x = -3; y = -5
-3 > -5? yes
|-3| > |-5| ? ----> No
Choice 2 does not work. Therefore it is (A)
Lets test theories: lets say x = -6; y = 5
(-6)^2 = 36; (5)^2 = 25
36 > 25
|-6| = 6; |5| = 5
so is 6>5 ?---> yes.
As long as you satisfy the first condition, you can plug any number irregardless of the sign, and |x| will always be greater than |y|
Choice 1 works.
Choice 2 will not work. Lets take 2 examples.
x = 5; y = 3
|5| > |3| ? ---> yes
if x = -3; y = -5
-3 > -5? yes
|-3| > |-5| ? ----> No
Choice 2 does not work. Therefore it is (A)
