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# x, y and z are integers and x=y-z , x+z > x-y? a. x is

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Joined: 27 Jul 2003
Posts: 124
Location: Singapore
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x, y and z are integers and x=y-z , x+z > x-y? a. x is [#permalink]  23 Aug 2003, 04:19
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x, y and z are integers and x=y-z , x+z > x-y?
a. x is negative
b. y is negative
CEO
Joined: 15 Aug 2003
Posts: 3469
Followers: 61

Kudos [?]: 702 [0], given: 781

Re: DS#2-23rd Aug [#permalink]  23 Aug 2003, 14:03
araspai wrote:
x, y and z are integers and x=y-z , x+z > x-y?
a. x is negative
b. y is negative

The statement in other words is asking if z > -y

1 says that x is negative

x= y-z which says that y < z . that is .... z >y

but we do not know whether y is postive or negative

say z =-100 , y= -200

z > y , but z < -y

say z= 10 , y = 5

z> y and z> -5

so insufficient

2 says y is negative

X= Y-Z ..that is y = x + z ...here either one of them is negative or both of them is negative ...so we cant say for sure about the relationship between y and z.

say x= 100 , z =-200 ... y= -100 , z < -y
say x= -20 z =10 y = -10 , z = -y
say x= 0 , z = -1 y= -1 , z <-y

so we have no consistent solution

Combine them .... we have

x= y-z , we know x and y are negative...

we have z= y-x

y=-20 , x=-10 =>> z =-10 z <-y
y=-20 , x=-50 z = 30 z>-y

We have no consistent solution

Re: DS#2-23rd Aug   [#permalink] 23 Aug 2003, 14:03
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