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# official question (on inequality)

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Manager
Joined: 25 Jul 2006
Posts: 97
Followers: 1

Kudos [?]: 0 [0], given: 0

official question (on inequality) [#permalink]  13 Jan 2007, 11:53
Note this is not a DS question, but a PS question:
1. 4-n?6
2. 4-n?5
which of the following symbols should be substituted for ? to make both the above statements true for all integers n such that -2 < n <= 3

<=
<
=
>
>=

------------
1. from statement 1, -2?n. Since -2 < n, ? is <
2. from statement 2, -1?n. From this, the only thing that may be established is ? is <=
3. hence, it seems to me that none of the symbols will make both statements true
But OA is <=

How?

Not sure if I even understand this problem or approaching it correctly.
Thanks for any help.
Director
Joined: 28 Dec 2005
Posts: 922
Followers: 2

Kudos [?]: 37 [0], given: 0

Re: official question (on inequality) [#permalink]  13 Jan 2007, 12:05
I got <= also. The way I did it:

The possible values for n are: -1,0,1,2,3

For each value of n calculated 4-n.
So, LHS (left hand side) for -1,0,1,2,3 can be respectively (5,4,3,2,1)

Now which symbol between LHS and RHS (right hand side) holds true? Since LHS is 5 or lesser, that means the symbol has to be LHS <= RHS

oops wrote:
Note this is not a DS question, but a PS question:
1. 4-n?6
2. 4-n?5
which of the following symbols should be substituted for ? to make both the above statements true for all integers n such that -2 < n <= 3

<=
<
=
>
>=

------------
1. from statement 1, -2?n. Since -2 < n, ? is <
2. from statement 2, -1?n. From this, the only thing that may be established is ? is <=
3. hence, it seems to me that none of the symbols will make both statements true
But OA is <=

How?

Not sure if I even understand this problem or approaching it correctly.
Thanks for any help.
Manager
Joined: 25 Jul 2006
Posts: 97
Followers: 1

Kudos [?]: 0 [0], given: 0

hsampath,

your approach seems right (was trying to thinking along these lines after posting the question) - it didn't initially occur to me that the statements need be true for only the given specific values of n.

these inequality questions always seem to trap me - it seems to require a non-conventional way of thinking.

i'd appreciate if anyone can refer me to more examples with inequalities, especially when combined with absolute values - i found the examples in the Challenges also quite a challenge
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 98 [0], given: 0

oops wrote:
hsampath,

your approach seems right (was trying to thinking along these lines after posting the question) - it didn't initially occur to me that the statements need be true for only the given specific values of n.

these inequality questions always seem to trap me - it seems to require a non-conventional way of thinking.

i'd appreciate if anyone can refer me to more examples with inequalities, especially when combined with absolute values - i found the examples in the Challenges also quite a challenge

Perhaps u could have a look here : http://www.gmatclub.com/phpbb/viewtopic.php?t=39533
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