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|x|/x or -1
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11 Feb 2022, 08:30
11 Feb 2022, 08:30
Expert Reply
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Question Stats:
84% (00:26) correct
15% (00:28) wrong based on 44 sessions
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\(x \neq 0\)
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
Quantity A |
Quantity B |
\(\frac{|x|}{x}\) |
\(-1 \) |
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
Re: |x|/x or -1
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15 Feb 2022, 07:21
15 Feb 2022, 07:21
2
If
\(x > 0\) then \(|x| = x\)
&
\(x < 0\) then \(|x| = -x\)
So accordingly the value of \(\frac{|x|}{x}\) will change between \(-1\) & \(1\)
Answer D
\(x > 0\) then \(|x| = x\)
&
\(x < 0\) then \(|x| = -x\)
So accordingly the value of \(\frac{|x|}{x}\) will change between \(-1\) & \(1\)
Answer D
Re: |x|/x or -1
[#permalink]
15 Feb 2022, 08:06
15 Feb 2022, 08:06
Carcass wrote:
\(x \neq 0\)
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
Quantity A |
Quantity B |
\(\frac{|x|}{x}\) |
\(-1 \) |
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
X can either be +/-ve
Case 1: x = -1 . A will be -ve 1 and equal to B, so ans is C ---->> A: |-1| = 1, but we do have x in denominator, which will make A -ve as a whole.
Case 2: x = 1. A will be greater than B, so ans is A
So no definitive ans and final ans should be D
