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

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CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
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Kudos [?]: 349 [0], given: 4

Is z + z < z? 1. -4z > 4z 2. z^3 < z^2 [#permalink]  25 Nov 2007, 01:27
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Is z + z < z?

1. -4z > 4z
2. z^3 < z^2
Intern
Joined: 23 Sep 2007
Posts: 36
Followers: 0

Kudos [?]: 1 [0], given: 0

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
Senior Manager
Joined: 09 Oct 2007
Posts: 467
Followers: 1

Kudos [?]: 22 [0], given: 1

D. Only way a higher power is less is when the base is negative.
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

asdert wrote:
D. Only way a higher power is less is when the base is negative.

or when the base is a fraction!

OA is A
Senior Manager
Joined: 09 Oct 2007
Posts: 467
Followers: 1

Kudos [?]: 22 [0], given: 1

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.
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