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Which is greater -x-3/4 or y
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27 Jan 2020, 09:23
27 Jan 2020, 09:23
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Question Stats:
66% (01:12) correct
33% (01:06) wrong based on 27 sessions
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Attachment:
#greprepclub Which is greater -x-34 or y.jpg [ 6.65 KiB | Viewed 1884 times ]
Quantity A |
Quantity B |
\(- \frac{x-3}{4}\) |
\(y\) |
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 the right answer and explanation
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Which is greater -x-3/4 or y
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27 Jan 2020, 10:57
27 Jan 2020, 10:57
1
Carcass wrote:
Attachment:
#greprepclub Which is greater -x-34 or y.jpg
Quantity A |
Quantity B |
\(- \frac{x-3}{4}\) |
\(y\) |
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 the right answer and explanation
The key here is to avoid making any assumptions about the precise values of x and y.
All we know for certain, is that \(-1 < x < 0\) and \(0 < y < 1\)
Okay giving all of this, let's first simplify things by using the strategy of matching operations
Quantity A: \(- \frac{x-3}{4}\)
Quantity B: \(y\)
Multiply both quantities by \(4\) to get:
Quantity A: \(- (x-3)\)
Quantity B: \(4y\)
Simplify Quantity A to get:
Quantity A: \(3-x\)
Quantity B: \(4y\)
From here, let's test some values.
case i: Since \(-1 < x < 0\) and \(0 < y < 1\), it COULD be the case that \(x = -0.1\) and \(y = 0.5\).
Let me plug these values into our quantities we get:
Quantity A: \(3-x = 3 - (-0.1) = 3.1\)
Quantity B: \(4y = 4(0.5) = 2\)
In this case, Quantity A is greater
case ii: Since \(-1 < x < 0\) and \(0 < y < 1\), it COULD also be the case that \(x = -0.1\) and \(y = 0.9\).
Let me plug these values into our quantities we get:
Quantity A: \(3-x = 3 - (-0.1) = 3.1\)
Quantity B: \(4y = 4(0.9) = 3.6\)
In this case, Quantity B is greater
Answer: D
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Which is greater -x-3/4 or y [#permalink]
27 Jan 2020, 10:57
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