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Is |x - y| > x - y ? (1) y > x (2) The positive difference between x

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Kritisood
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Is |x - y| > x - y ? (1) y > x (2) The positive difference between x [#permalink] New post   20 Jun 2020, 00:06
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Is |x - y| > x - y ?

(1) y > x
(2) The positive difference between x and y is 3 units

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could someone explain how to solve st 1 in-depth pls?
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Re: Is |x - y| > x - y ? (1) y > x (2) The positive difference between x [#permalink] New post   20 Jun 2020, 01:36
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Bunuel wrote:
Is |x - y| > x - y ?

The question basically asks whether x - y < 0, or whether x < y. (When x - y >= 0, |x - y| = x - y)

(1) y > x. Directly answers the question. Sufficient.

(2) The positive difference between x and y is 3 units. This translates to |x - y| = 3, which is obviously not sufficient to get whether x < y.

Answer: A.


Bunuel to elaborate on your approach, would we solve the first statement as below?
|x - y| > x - y
y-x > x - y > x - y

case 1: y-x>x-y
y>x

case 2: x-y>x-y not possible
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Re: Is |x - y| > x - y ? (1) y > x (2) The positive difference between x [#permalink] New post   20 Jun 2020, 01:30
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Is |x - y| > x - y ?

The question basically asks whether x - y < 0, or whether x < y. (When x - y >= 0, |x - y| = x - y)

(1) y > x. Directly answers the question. Sufficient.

(2) The positive difference between x and y is 3 units. This translates to |x - y| = 3, which is obviously not sufficient to get whether x < y.

Answer: A.
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Re: Is |x - y| > x - y ? (1) y > x (2) The positive difference between x [#permalink] New post   20 Jun 2020, 02:41
We don't exactly have to elaborate I guess.
If we look at statement 1: Y is greater than X
Let suppose Y is 4 and X is 3
=> |3 - 4| > 3 - 4
=> |-1| > -1
=> 1 > -1
(Sufficient)

Statement 2: positive differnce 3 is |±3|
If its Y-X = -3 = 3 (not sufficient)
X-Y = 3 = 3 (sufficient)
Therefore B can't give one specific answer.

Hence A is answer

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Re: Is |x - y| > x - y ? (1) y > x (2) The positive difference between x [#permalink] New post   28 Sep 2022, 11:04
Bunuel wrote:
Is |x - y| > x - y ?

The question basically asks whether x - y < 0, or whether x < y. (When x - y >= 0, |x - y| = x - y)

(1) y > x. Directly answers the question. Sufficient.

(2) The positive difference between x and y is 3 units. This translates to |x - y| = 3, which is obviously not sufficient to get whether x < y.

Answer: A.



Could you elaborate on how you got y > x? I got x>y in pre-solving.

Here's my working-

x-y > x-y =>0 or x-y > -(x+y) => x -y> -x +y => 2x > 2y => Is x>y? Y/N?

Where have I gone wrong?

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Re: Is |x - y| > x - y ? (1) y > x (2) The positive difference between x [#permalink]
28 Sep 2022, 11:04
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Bunuel
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