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Bunuel Please explain how to tackle such questions or mention any related topic TIA

Hi

In such Qs where ranges are given and you are looking for a value... MANTRA or a helping point will be :- As the variables can take any value within the range, more than often the extremes would B the answer that is A or E. So A.5 cannot be formed from 3-(- something slightly less than 2).. But E.-6 can be found as min here will be infinity
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You can TEST VALUES to prove which 4 answers ARE possible (and which one is not).

We're told that 3 ≥ S ≥ –3, and T > –2. We're asked which of the following CANNOT be the value of S – T....

IF.... S = 1, T = 0, then S-T could be 1. Eliminate Answer B. S = 1/2, T = 0, then S-T could be 1/2. Eliminate Answer C. S = -1/2, T = 0, then S-T could be -1/2. Eliminate Answer D. S = 0, T = 6, then S-T could be -6. Eliminate Answer E.

Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink]

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17 Apr 2017, 20:50

EMPOWERgmatRichC wrote:

Hi ehsan090,

You can TEST VALUES to prove which 4 answers ARE possible (and which one is not).

We're told that 3 ≥ S ≥ –3, and T > –2. We're asked which of the following CANNOT be the value of S – T....

IF.... S = 1, T = 0, then S-T could be 1. Eliminate Answer B. S = 1/2, T = 0, then S-T could be 1/2. Eliminate Answer C. S = -1/2, T = 0, then S-T could be -1/2. Eliminate Answer D. S = 0, T = 6, then S-T could be -6. Eliminate Answer E.

Thanks EMPOWERgmatRichC This mean anyhow we must use putting values method to come to answer there is no other method exist am I right? Actually I feel it is a little time taken procedure and sometime resulted in panic for me when value are negative specially
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Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the [#permalink]

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11 May 2017, 23:18

Doesn't t>-2 mean that it could take assume any value greater than -2? If that's the case, it could be +2 as well which would make the answer 5 possible.

Doesn't t>-2 mean that it could take assume any value greater than -2? If that's the case, it could be +2 as well which would make the answer 5 possible.

Hi TheMastermind,

You have to pay careful attention to the details of this question - and what it's ultimately asking for. The prompt asks us for what CANNOT be a possible value of (S - T), so proving that four of the answers ARE possible would leave us with the one that is not.

You correctly note that T could be +2, so given the possible range of values for S, what COULD (S-T) equal...? Any value from +1 to -5, inclusive. "5" is NOT in that range.