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x>=0
[#permalink]
17 Sep 2018, 20:38
17 Sep 2018, 20:38
Expert Reply
00:00
Question Stats:
97% (00:12) correct
2% (00:03) wrong based on 78 sessions
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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.
Re: x>=0
[#permalink]
17 Sep 2018, 21:42
17 Sep 2018, 21:42
1
Carcass wrote:
\(x \geq 0\)
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.
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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x>=0
[#permalink]
09 Jun 2019, 15:35
09 Jun 2019, 15:35
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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