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Expert's post 00:00

Question Stats: 96% (00:12) correct 3% (00:03) wrong based on 55 sessions

$$x \geq 0$$

 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.
[Reveal] Spoiler: OA

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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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Expert's post
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

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Brent Hanneson – Creator of greenlighttestprep.com  Re: x>=0   [#permalink] 09 Jun 2019, 15:35
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