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|x| is different from 1/2

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Carcass
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|x| is different from 1/2 [#permalink] New post   24 Apr 2019, 00:55
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\(|x| \neq \frac{1}{2}\)

Quantity A
Quantity B
\(\frac{4x^2-1}{2x+1}\)
\(\frac{4x^2-1}{2x-1}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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B
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GreenlightTestPrep
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Re: |x| is different from 1/2 [#permalink] New post   24 Apr 2019, 04:45
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Carcass wrote:
\(|x| \neq \frac{1}{2}\)

Quantity A
Quantity B
\(\frac{4x^2-1}{2x+1}\)
\(\frac{4x^2-1}{2x-1}\)


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


QUANTITY A: \(\frac{4x^2-1}{2x+1}=\frac{(2x+1)(2x-1)}{2x+1}=2x-1\)

QUANTITY B: \(\frac{4x^2-1}{2x-1}=\frac{(2x+1)(2x-1)}{2x-1}=2x+1\)

We now have:
QUANTITY A: 2x - 1
QUANTITY B: 2x + 1

Subtract 2x from both quantities:
QUANTITY A: -1
QUANTITY B: 1

Answer: B

Cheers,
Brent
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Re: |x| is different from 1/2 [#permalink]
24 Apr 2019, 04:45
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