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Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy

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Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy  [#permalink]

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New post 25 Jul 2018, 02:35
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (00:42) correct 44% (00:46) wrong based on 32 sessions

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Re: Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy  [#permalink]

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New post 25 Jul 2018, 02:50
1
1 stm: -4x + 2y < y - 3x if we add 4x to both sides and subtract both sides by y, we get y<x suff
2 stm: If x=2 y=1 w=5 then x>y wx>xy, But if x=-1 y=-2 w=-5 x>y, wx<wy insuff


IMO
Ans: A
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Re: Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy  [#permalink]

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New post 25 Jul 2018, 02:55
Is x > y?


(1) -4x + 2y < y - 3x
\(-4x+2y<y-3x.........2y-y<4x-3x.......y<x\)
Sufficient

(2) wx > wy
wx-wy>0.........w(x-y)>0
If w>0, then x-y>0 or x>y
if w<0, then x-y<0 or x<y
Insufficient

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy  [#permalink]

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New post 25 Jul 2018, 08:00
Bunuel wrote:
Is x > y?


(1) -4x + 2y < y - 3x

(2) wx > wy



Upon rearranging statement 1 we get

-x<-y => x>y

Statement 1 is sufficient

from Statement 2 we do not anything about the value of W.So clearly it is insufficient.

Hence A is the Answer.
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Re: Is x > y? (1) -4x + 2y < y - 3x (2) wx > wy &nbs [#permalink] 25 Jul 2018, 08:00
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