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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] New post 25 Nov 2007, 02:27
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Is z + z < z?

1. -4z > 4z
2. z^3 < z^2
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A [#permalink] New post 03 Dec 2007, 11:05
I agree A.

A is sufficient

for -4Z > 4Z , Z has to be negative. And only if Z is -ve will Z+Z<Z

B is not sufficient

AS +ve franctions like 1/2^3 < 1/2^2
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 [#permalink] New post 03 Dec 2007, 11:05
D. Only way a higher power is less is when the base is negative.
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 [#permalink] New post 03 Dec 2007, 11:09
asdert wrote:
D. Only way a higher power is less is when the base is negative.


:P

or when the base is a fraction!


OA is A
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 [#permalink] New post 03 Dec 2007, 12:07
makes sense.

Also, sometimes I get confused in problems where we need to replace a variable for a value.

Let's say z = -2

Then z + z < z = -2 +(-2) = -2 correct? and,
-4z = -4(-2), thus making it pos. Right?

But never:
-4(2)

I don't know why this keeps bothering me. thanks.
  [#permalink] 03 Dec 2007, 12:07
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