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

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Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 14

Kudos [?]: 49 [0], given: 220

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

78% (00:50) correct 21% (00:48) wrong based on 32 sessions
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.
[Reveal] Spoiler: OA
1 KUDOS received
Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 327 [1] , given: 66

Re: If x > -2, which is greater: 2x - 4 or 5x + 7? [#permalink] New post 30 Oct 2017, 08:04
1
This post received
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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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GRE Instructor
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Joined: 10 Apr 2015
Posts: 1177
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Kudos [?]: 1053 [1] , given: 6

CAT Tests
Re: If x > -2, which is greater: 2x - 4 or 5x + 7? [#permalink] New post 31 Oct 2017, 08:15
1
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Expert's post
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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Intern
Intern
Joined: 15 May 2018
Posts: 39
Followers: 0

Kudos [?]: 5 [0], given: 1

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