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If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?
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08 Aug 2018, 16:35
08 Aug 2018, 16:35
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69% (01:47) correct
30% (01:39) wrong based on 106 sessions
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If \(|y| ≤ - 4x\) and |\(3x - 4| = 2x + 6\), what is the value of x?
A. \(-3\)
B. \(\frac{-1}{3}\)
C. \(\frac{-2}{5}\)
D. \(\frac{1}{3}\)
E. \(10\)
A. \(-3\)
B. \(\frac{-1}{3}\)
C. \(\frac{-2}{5}\)
D. \(\frac{1}{3}\)
E. \(10\)
Re: If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?
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09 Aug 2018, 13:36
09 Aug 2018, 13:36
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Carcass wrote:
If \(|y| ≤ - 4x\) and |\(3x - 4| = 2x + 6\), what is the value of x?
A. \(-3\)
B. \(\frac{-1}{3}\)
C. \(\frac{-2}{5}\)
D. \(\frac{1}{3}\)
E. \(10\)
A. \(-3\)
B. \(\frac{-1}{3}\)
C. \(\frac{-2}{5}\)
D. \(\frac{1}{3}\)
E. \(10\)
First of all , thanks for this question that made me upset for a while. It's not that much easy. It must be at least mid level question.
Note:
|y| means the ultimate value is positive.
Given \(|y| \leq-4x\)
So, -4x is positive. It clearly indicates that x is negative.
we have |3x-4| = 2x + 6
Case 1:
3x - 4 is positive .
3x - 4 = 2x + 6
x = 10
Case 2 :
(3x - 4) is negative.
-3x + 4 = 2x + 6
x = - \(\frac{2}{5}\)
Thus x = - 2/5 as it meets out condition.
The best answer is C.
General Discussion
Re: If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?
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13 Jul 2021, 23:32
13 Jul 2021, 23:32
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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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