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x^5 y^4 z^2 < 0

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by sanju09 » Fri Jul 23, 2010 6:14 am
If x^5 y^4 z^2 < 0, which of the following must be true?
I. x y < 0
II. y z < 0
III. x z < 0
A. I
B. II
C. III
D. I and II
E. None

[spoiler]Source: majortests.com[/spoiler]
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Source: — Problem Solving |

by blaster » Fri Jul 23, 2010 6:17 am
i think it must be E
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by kvcpk » Fri Jul 23, 2010 6:24 am
sanju09 wrote:If x^5 y^4 z^2 < 0, which of the following must be true?
I. x y < 0
II. y z < 0
III. x z < 0
A. I
B. II
C. III
D. I and II
E. None

[spoiler]Source: majortests.com[/spoiler]
y^4 and z^2 cannot be <0

Hence x^5 should be less than 0
which means x<0
We have no info about y and z
Hence pick E
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