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# If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the

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

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14 Mar 2017, 01:18
1
6
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Difficulty:

55% (hard)

Question Stats:

62% (01:40) correct 38% (01:37) wrong based on 179 sessions

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If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the value of s – t ?

A. 5
B. 1
C. 1/2
D. -1/2
E. –6

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14 Mar 2017, 01:23
1
A
5 can't be obtained.
Coz max value of s allowed is 3
And to get 5 I need t to be (-2)which is not possible

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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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16 Apr 2017, 05:23
Bunuel
Please explain how to tackle such questions or mention any related topic
TIA
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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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16 Apr 2017, 06:03
ehsan090 wrote:
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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Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the  [#permalink]

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17 Apr 2017, 10:26
1
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.

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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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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.

GMAT assassins aren't born, they're made,
Rich

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.
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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, 23:44
Bunuel wrote:
If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the value of s – t ?

A. 5
B. 1
C. 1/2
D. -1/2
E. –6

For t = -2, -1<=s-t<=5
For t=-1, -2<=s-t<=4
and so on..
t can take any values and not only integral values.

So we can see that s-t can attain any values <=5 if t>=-2
If t>-2, s-t<5.

Option A is correct

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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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12 May 2017, 10:37
TheMastermind wrote:
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.

GMAT assassins aren't born, they're made,
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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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08 Oct 2018, 07:05
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Re: If 3 ≥ s ≥ –3, and t > –2, then which of the following cannot be the   [#permalink] 08 Oct 2018, 07:05
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