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If X+Y+Z >0, is Z>1? 1)Z>X+Y+1 2)X+Y+1<0 [#permalink]
 23 Oct 2007, 19:27
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
If X+Y+Z >0, is Z>1?
1)Z>X+Y+1
2)X+Y+1<0
Please expalin, thanks
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VP
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[quote="garyxb"]If X+Y+Z >0, is Z>1?
1)Z>X+Y+1
2)X+Y+1<0>0 --------(a)
(1) says that Z > X+Y+1
add (1) and (a)
we get X+Y+2Z > X+Y+1
which means Z >1/2 INSUFF
from(2)
X+Y+1<0> X+Y+1 -------(II)
add (a) and (II)
you get z>1
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GMAT Club Legend
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St1:
z > x+y+1
If x+y = -2, then z > -1. So z could be less than 1 or more than 1. Insufficient.
St2:
x+y+1 < 0
x+y < -1
So z > 1 in order for x+y+z > 0. Sufficient.
Ans B
Last edited by ywilfred on 23 Oct 2007, 20:09, edited 2 times in total.
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Given:
x + y + z > 0
z > -x - y
z > -1(x+y)
z > 1?
1. z > x + y + 1
add: z > -x - y
--------------------
2z > 1
z > 1?
z > 1/2 :INSUFF
2. x + y + 1 < 0
rewrite: x + y < -1
originally given: z > -1(x+y)
original question: z > 1?
one possible solution: z > -1(x+y) > 1?
(-1)(x+y) > 1?
x + y < -1? Yes! :SUFF
Ans: B
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