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Carcass
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Joined: 18 Apr 2015
Posts: 14952
GRE 1: Q160 V160
x>=0 [#permalink] New post  17 Sep 2018, 20:38
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\(x \geq 0\)

Quantity A
Quantity B
\(x^{10}\)
\(x^{100}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: x>=0 [#permalink] New post  17 Sep 2018, 21:42
1
Carcass wrote:
\(x \geq 0\)

Quantity A
Quantity B
\(x^{10}\)
\(x^{100}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Here

\(x \geq 0\)

if x = 0 , then QTY A = QTY B

if x = 2, then QTY A < QTY B

Hence option is D
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GreenlightTestPrep
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Re: x>=0 [#permalink] New post  09 Jun 2019, 15:35
Expert Reply
Carcass wrote:


\(x \geq 0\)

Quantity A
Quantity B
\(x^{10}\)
\(x^{100}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Let's test some values

case i: x = 1
We get:
QUANTITY A: \(x^{10}=1^{10}=1\)
QUANTITY B: \(x^{100}=1^{100}=1\)
In this case, the two quantities are equal

case i: x = 2
We get:
QUANTITY A: \(x^{10}=2^{10}\)
QUANTITY B: \(x^{100}=2^{100}\)
In this case, Quantity B is greater

Answer: D

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