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21 Apr 2024, 11:11
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B
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Difficulty:
5%
(low)
Question Stats:
98% (00:37) correct
2%
(00:15)
wrong
based on 266
sessions
History
Date
Time
Result
Not Attempted Yet
If \(|x - y| = 0\), what is the value of \(|x| - |y|\)?
A. -1
B. 0
C. 1
D. 2
E. 4
A. -1
B. 0
C. 1
D. 2
E. 4
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04 May 2024, 06:15
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Official Solution:
If \(|x - y| = 0\), what is the value of \(|x| - |y|\) ?
A. -1
B. 0
C. 1
D. 2
E. 4
\(|x - y| = 0\) implies that the distance between \(x\) and \(y\), on the number line, is 0 or that \(x=y\). Thus, \(|x| - |y|=|x| - |x|=0\).
Answer: B
If \(|x - y| = 0\), what is the value of \(|x| - |y|\) ?
A. -1
B. 0
C. 1
D. 2
E. 4
\(|x - y| = 0\) implies that the distance between \(x\) and \(y\), on the number line, is 0 or that \(x=y\). Thus, \(|x| - |y|=|x| - |x|=0\).
Answer: B
General Discussion
21 Apr 2024, 11:14
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Bunuel
\(|x-y|\) → Indicates the distance between \(x\) and \(y\)
Given \(|x - y| = 0\)
Inference: As the distance between \(x\) and \(y\) =0 , \(x\) and \(y\) indicate the same point on a number line.
|x| → Indicate the distance of \(x\) from 0
|y| → Indicate the distance of \(y\) from 0
As x = y, the distances will be equal.
Hence, |x| - |y| will also be equal to 0.
Option B
