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# Is x < y?

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Manager
Joined: 23 Sep 2016
Posts: 95

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10 Oct 2016, 13:24
1
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:25) correct 35% (00:52) wrong based on 72 sessions

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Is x < y?

(1) xz < yz
(2) –3x > 6y
Retired Moderator
Joined: 05 Jul 2006
Posts: 1734
Re: DS: Is x < y?  [#permalink]

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10 Oct 2016, 13:37
SW4 wrote:
Is x < y?

(1) xz < yz
(2) –3x > 6y

FROM 1

zx-zy = Z(X-Y)<0....... INSUFF

FROM2

X+2y< 0 ........or X<-2Y ... INSUFF ( TRY PLUG IN NUMBERS)

Both together

add both inequalities from 1 and 2

(zx+x)+ (2y-zy) = x(z+1)+y (2-z)<0 .... no idea about relations or values of z ... insuff

I d say E
Director
Joined: 05 Mar 2015
Posts: 980
Re: Is x < y?  [#permalink]

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10 Oct 2016, 19:45
SW4 wrote:
Is x < y?

(1) xz < yz
(2) –3x > 6y

1) z(x-y)<0

if z<0 then x-y>0----->x>y------>No
if z>0 then x-y<0------->x<y------->yes------>insuff....

2) -3x-6y>0
-3(x+2y)>0
x+2y<0
if x=0 y=-2 then y<x------>No
if x=-2,y=0 then y>x-------> yes----------> insuff..

Combining if x=0 , z=y=-2------->y<x----------->No.
But if x=-2,z=2,y=0---------then y>x-----------Yes..insuff..

Ans E
Manager
Joined: 31 May 2015
Posts: 81
Re: Is x < y?  [#permalink]

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28 Sep 2017, 00:37
On (1) are we not permitted to do: xz < yz,, x < yz/z,, x < y
_________________

GMAT loosers are born not made !!!

Re: Is x < y? &nbs [#permalink] 28 Sep 2017, 00:37
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