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If x > -3, which is greater: 2x - 4 or 5x + 7?

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Bunuel
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If x > -3, which is greater: 2x - 4 or 5x + 7? [#permalink] New post   29 Oct 2017, 02:17
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x > -3

Quantity A
Quantity B
2x - 4
5x + 7



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

Kudos for correct solution.
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B
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IlCreatore
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Re: If x > -2, which is greater: 2x - 4 or 5x + 7? [#permalink] New post   30 Oct 2017, 08:04
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Subtracting 2x and 7 from both quantities, we get quantity A equal to -11 and quantity B equal to 3x. Then, given that x > -3, quantity B is at least equal to 3*(-2.9999) = -8.99997, that is greater than -11. Thus quantity B is larger than quantity A.

Answer B
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Re: If x > -2, which is greater: 2x - 4 or 5x + 7? [#permalink] New post   31 Oct 2017, 08:15
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Bunuel wrote:
x > -3

Quantity A
Quantity B
2x - 4
5x + 7




We can solve this question using matching operations

Given:
Quantity A: 2x - 4
Quantity B: 5x + 7

Subtract 2x from both quantities to get:
Quantity A: -4
Quantity B: 3x + 7

Subtract 7 both quantities to get:
Quantity A: -11
Quantity B: 3x

Divide both quantities by 3 to get:
Quantity A: -11/3
Quantity B: x

Simplify to get:
Quantity A: -3.666666...
Quantity B: x

Since we're told that x > -3, we can be certain that x > -3.66666...

Answer: B

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Re: If x > -3, which is greater: 2x - 4 or 5x + 7? [#permalink] New post   22 May 2018, 15:13
Bunuel wrote:
x > -3

Quantity A
Quantity B
2x - 4
5x + 7



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

Kudos for correct solution.

Answer is B
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Re: If x > -3, which is greater: 2x - 4 or 5x + 7? [#permalink] New post   11 Aug 2024, 15:41
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x > -3, which is greater: 2x - 4 or 5x + 7? [#permalink]
11 Aug 2024, 15:41
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