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13 Jan 2007, 12:53
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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
>=
------------
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.
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
>=
------------
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.
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13 Jan 2007, 13:05
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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
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
13 Jan 2007, 13:35
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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
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
