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# If Z*T is < -3, is Z < 4 1 Z < 9 2 T < -4

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Intern
Joined: 22 Sep 2007
Posts: 30
If Z*T is < -3, is Z < 4 1 Z < 9 2 T < -4 [#permalink]

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28 Feb 2008, 17:32
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If Z*T is < -3, is Z < 4

1 – Z < 9
2 – T < -4
Director
Joined: 23 Sep 2007
Posts: 782

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28 Feb 2008, 18:01
Is it E?

statement 1: z < 9

z = 8, t = -1 ---> zt < -3
z = -8, t = 1 ---> zt < -3

insuff

statement 2: T < -4

substitute into the stem ---> -4z < -3 ---> 4z > 3 , z > 3/4

z could be 2 or 10 or ...

insuff

1 and 2 together:

z could be 2 and t could be -5 , 2(-5) < -3

z could be 5 and t could be -5 , 5(-5) < -3

z could be any number between 3/4 and 9
Intern
Joined: 09 Feb 2008
Posts: 14

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28 Feb 2008, 18:10
b). because, the first statement does not narrow down the problem.
SVP
Joined: 28 Dec 2005
Posts: 1558

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28 Feb 2008, 18:36
is it b?

stat 1 says that z>-9 . not much info here. insuff

stat 2 says that t>4. if this is the case, then z must be negative to make zt<-3 . and since z<0, that automatically means that z<4.
CEO
Joined: 29 Mar 2007
Posts: 2559

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28 Feb 2008, 18:59
kizito2001 wrote:
If Z*T is < -3, is Z < 4

1 – Z < 9
2 – T < -4

1: Z>-9 Yes and No. Insuff.

2: T>4.

Since T is + Z must be negative.

Thus Z<4. Suff

B
Director
Joined: 23 Sep 2007
Posts: 782

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28 Feb 2008, 19:40
GMATBLACKBELT wrote:
kizito2001 wrote:
If Z*T is < -3, is Z < 4

1 – Z < 9
2 – T < -4

1: Z>-9 Yes and No. Insuff.

2: T>4.

Since T is + Z must be negative.

Thus Z<4. Suff

B

statement 2:
T < -4

NOT T > 4

unless the original text meant to say "2 minus T < -4" instead of statement 2: T < -4
CEO
Joined: 29 Mar 2007
Posts: 2559

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29 Feb 2008, 07:23
gmatnub wrote:
GMATBLACKBELT wrote:
kizito2001 wrote:
If Z*T is < -3, is Z < 4

1 – Z < 9
2 – T < -4

1: Z>-9 Yes and No. Insuff.

2: T>4.

Since T is + Z must be negative.

Thus Z<4. Suff

B

statement 2:
T < -4

NOT T > 4

unless the original text meant to say "2 minus T < -4" instead of statement 2: T < -4

ur right. Kizito can u plz use : instead of the - if thats what u meant to use the - as.
Manager
Joined: 27 Jun 2007
Posts: 199

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29 Feb 2008, 07:41
So what is the original equation then? I am confused...
Manager
Joined: 28 Sep 2007
Posts: 210

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29 Feb 2008, 09:00
At first I thought those were negatives. But I don't think they are meant to be neg's, so I came up with E as the answer. Neither are sufficient. 2 tells you that Z is positive.
You still can't determine if Z is < 4.
Director
Joined: 26 Jul 2007
Posts: 535
Schools: Stern, McCombs, Marshall, Wharton

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29 Feb 2008, 13:02
I assumed they were negative signs as well.

Stmt 1: negative Z < 9, which when you divide both sides by negative 1 you get:
Stmt 1: Z > -9
Stmt 2: negative T < negative 4, which when you divide both sides by negative 1 you get:
Stmt 2: T > 4

We know Z*T is < -3 which tells us Z < -3T

Stmt 1: Z > -9
Insuff. Z could be larger or smaller than 4 depending on T

Stmt 2: T > 4
Suff. If T is any number greater than 4 then Z will always be less than 4.
Re: DS - Inequality   [#permalink] 29 Feb 2008, 13:02
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