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If x > y, then which of the following could be true?
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Updated on: 20 Oct 2019, 00:08
Updated on: 20 Oct 2019, 00:08
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Question Stats:
71% (00:56) correct
28% (01:50) wrong based on 14 sessions
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If \(x > y\), then which of the following could be true?
I. \(|x||y|x<|xy|y\)
II. \(|x||y|x>|xy|y\)
III. \(|x||y|x=−|xy|y\)
(a) I only
(b) II only
(c) III only
(d) I and II only
(e) I, II, and III
I. \(|x||y|x<|xy|y\)
II. \(|x||y|x>|xy|y\)
III. \(|x||y|x=−|xy|y\)
(a) I only
(b) II only
(c) III only
(d) I and II only
(e) I, II, and III
Re: If x > y, then which of the following could be true?
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21 Oct 2019, 23:07
21 Oct 2019, 23:07
1
sanna14 wrote:
If \(x > y\), then which of the following could be true?
I. \(|x||y|x<|xy|y\)
II. \(|x||y|x>|xy|y\)
III. \(|x||y|x=−|xy|y\)
(a) I only
(b) II only
(c) III only
(d) I and II only
(e) I, II, and III
I. \(|x||y|x<|xy|y\)
II. \(|x||y|x>|xy|y\)
III. \(|x||y|x=−|xy|y\)
(a) I only
(b) II only
(c) III only
(d) I and II only
(e) I, II, and III
*** Kindly mention the source in your present and future post. Plz don't forget to mention the Official answer
Here,
since, we don't what is x and y , so we have two take all possible values:
Let x and y be positive integer, such that x = 2 and y = 1
Put the values in |x||y|x and |xy|y
|x||y|x = 2 * 1 * 2 = 4
and |xy|y = 2*1 * 1 = 2
SO, |x||y|x > |xy|y
Let x and y be negative integer, such that x = -1 and y = -2
Put the values in |x||y|x and |xy|y
|x||y|x = 1 * 2 * -1 = -2
and |xy|y = 2*1 * -2 = -4
SO, |x||y|x>|xy|y
Let x and y be fraction, such that x = 0.5 and y = -0.1
Put the values in |x||y|x and |xy|y
|x||y|x = 0.5 * 0.1 * 0.5 = 0.025
and |xy|y = 0.5*0.1 * -0.1 = -0.005
SO, |x||y|x>|xy|y
Hence, we have tried out different possibilities and only option II is feasible.
Option B
Re: If x > y, then which of the following could be true?
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16 Sep 2020, 00:36
16 Sep 2020, 00:36
2
I think the options are wrong. Both 2 and 3 are possible. Since the question asks for could be true, means we need to find one case where it is true.
As we know, by property,
|x||y| = |xy|
Therefore,
1. Can never be true.
2. Is true always
3. Is true when y = -x. In this case, x > y and |x||y|x = -|x||y|y, therefore 3 holds too.
Therefore, both option 2 and 3 are correct.
As we know, by property,
|x||y| = |xy|
Therefore,
1. Can never be true.
2. Is true always
3. Is true when y = -x. In this case, x > y and |x||y|x = -|x||y|y, therefore 3 holds too.
Therefore, both option 2 and 3 are correct.
