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Is |v-x| < 8? (1) v and x are integers. (2) |v| = 4 and

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Is |v-x| < 8? (1) v and x are integers. (2) |v| = 4 and [#permalink]

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New post 20 Oct 2008, 08:38
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Is |v-x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6

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Re: DS- Inequality question... [#permalink]

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New post 20 Oct 2008, 08:50
we need to prove that |v-x| < 8 = -8< v-x < 8 ..

A: is not suff. at all

B: |v| = 4 => -4 < v <4 and |x| = 6 => -6 < x <6

Now take v = -4 and x = 6 , so v -x = -4-6= -10 ..given cond. false
Now take v = -2 and x = 4 , so v -x = -2-4= -6 ..given cond. true


We do not get def. answer , so E will be answer

* I took boundry value but you can try with -3.9 and -9.9 .. will get similar answer

Thanks

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Re: DS- Inequality question... [#permalink]

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New post 20 Oct 2008, 09:11
rnemani wrote:
Is |v-x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6


We can never tell the value of |v-x| the expression unless we know the value of V and X

(1) Not sufficient. No info about the values of V and X
(2) Not sufficient. We want the values of V and X along with their sign. |v-x| can take different values for different signs of 4 and 6

Together, no new info provided. So not sufficient.

E
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Manager
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Re: DS- Inequality question... [#permalink]

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New post 20 Oct 2008, 09:40
same here, E

no definitive answer

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Re: DS- Inequality question... [#permalink]

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New post 20 Oct 2008, 10:47
amitdgr wrote:
rnemani wrote:
Is |v-x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6


We can never tell the value of |v-x| the expression unless we know the value of V and X

(1) Not sufficient. No info about the values of V and X
(2) Not sufficient. We want the values of V and X along with their sign. |v-x| can take different values for different signs of 4 and 6

Together, no new info provided. So not sufficient.

E


amitdgr, on the red highlighted part, my approach will not be to reject outright as this is an inequality question. With all the possible combination of values of x and y, it could be possible that |x-y| < 8 (in this case it is not).

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Re: DS- Inequality question... [#permalink]

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New post 20 Oct 2008, 10:52
scthakur wrote:
amitdgr wrote:
rnemani wrote:
Is |v-x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6


We can never tell the value of |v-x| the expression unless we know the value of V and X

(1) Not sufficient. No info about the values of V and X
(2) Not sufficient. We want the values of V and X along with their sign. |v-x| can take different values for different signs of 4 and 6

Together, no new info provided. So not sufficient.

E


amitdgr, on the red highlighted part, my approach will not be to reject outright as this is an inequality question. With all the possible combination of values of x and y, it could be possible that |x-y| < 8 (in this case it is not).


I did not reject outright (though, i tend to do that a lot of times), I was just lazy to type :lol:
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Re: DS- Inequality question... [#permalink]

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New post 20 Oct 2008, 14:15
rnemani wrote:
Is |v-x| < 8?
(1) v and x are integers.
(2) |v| = 4 and |x| = 6


1) does not suffice
2)v=+4 or -4 and x=6 or -6
v-x = -10, -2 ,2,10

hence |v-x| = 2 or 10 => < 8 or >8 INSUFFI

both combine no additional info available hence OUT
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Re: DS- Inequality question...   [#permalink] 20 Oct 2008, 14:15
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Is |v-x| < 8? (1) v and x are integers. (2) |v| = 4 and

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