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If x > -3, which is greater: 2x - 4 or 5x + 7?
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29 Oct 2017, 02:17
29 Oct 2017, 02:17
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33% (00:59) wrong based on 185 sessions
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x > -3
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.
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.
Re: If x > -2, which is greater: 2x - 4 or 5x + 7?
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30 Oct 2017, 08:04
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
Answer B
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Re: If x > -2, which is greater: 2x - 4 or 5x + 7?
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31 Oct 2017, 08:15
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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