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# Is z+z<z? 1) -4z>4z 2) z^3<z^2

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Is z+z<z? 1) -4z>4z 2) z^3<z^2 [#permalink]

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18 Oct 2006, 12:26
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Is z+z<z?

1) -4z>4z
2) z^3<z^2
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18 Oct 2006, 12:45
Is z+z<z?

1) -4z>4z
2) z^3<z^2

IS Z>Z/2 NOT TRUE ONLY IF Z IS NEGATIVE

FROM ONE

-Z>Z THUS Z IS NEGATIVE ...SUFF

FROM TWO

Z IS NEGATIVE > OR <1 OR A POSITIVE FRACTION

i SAY A

Last edited by yezz on 18 Oct 2006, 13:45, edited 2 times in total.
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18 Oct 2006, 13:25
I think it is A.

z + z < z is possible for all negative - integers and fractions

From 1) we get z is negative

From 2) Not suff
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18 Oct 2006, 13:41
netcaesar wrote:
Is z+z<z?

1) -4z>4z
2) z^3<z^2

A

question : is z < 0 ?

from 1) 0 > 8z or z < 0 hence sufficient

from 2) z could be either negative or positive ( 0 < z < 1)
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18 Oct 2006, 18:03
netcaesar wrote:
Is z+z<z?

1) -4z>4z
2) z^3<z^2

A

2z<z only if z is -ve.

Statement 1: z is negative SUFF

Statement 2: 0<z<1, or z<0 INSUFF
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31 Oct 2006, 07:34
Late but A for me as well.

Statement 2 could be a fraction or a negative number.
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31 Oct 2006, 07:34
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# Is z+z<z? 1) -4z>4z 2) z^3<z^2

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