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# If it is true that -6 =< n =<10, which of the

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Joined: 18 Sep 2013
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Re: Problem solving - inequality - 700 level [#permalink]

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06 Dec 2013, 07:30
VeritasPrepKarishma wrote:
shashankp27 wrote:
bschool83 wrote:
agdimple333 and zuberahmed,

What if n = -5, 0, or 5? Then answer choice B (n = –6) will fall apart.

–6 <= n <= 10 means all values between and equal to -6 and 10.

Answer choice C, n > –8 holds true for all available values of n. Hence answer is C.

how does it 'fall apart' ? could you please elaborate...

Focus on the question's wording:
If it is true that –6 <= n <= 10, which of the following must be true?

'must be true' implies that no matter what value n takes (out of the given range), 'which of the following will definitely hold?'
We have to find that option that will remain true. It is different from 'which of the following CAN be true?' i.e. which of the following is possible...
Given -6 <= n <= 10

n = -6 is possible. But it will not hold for all possible values of n i.e. if n = 5, then n is not equal to -6. So 'n = -6' is not a 'must be true' condition.

On the other hand, n > -8 will always be true.
If n = -6, then n > -8
If n = 0, then n > -8
If n = 4, then n > -8
If n = 10, then n > -8
Hope you got the point. No matter which value n takes out of the available values, n > -8 will always be true. For every value of n, n will be more than -8.
Therefore, answer will be C.

GMAT loves to lay this trap. Be very careful. Make sure you understand exactly what the question is asking.

Thank you for the explanation. I have a question if it says n>-8 could it also mean that n could anywhere between-8 and infinity. However the stem sayd that n is less than 10. Hence I got a little confused. Could you please clarify?

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Re: Problem solving - inequality - 700 level [#permalink]

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06 Dec 2013, 08:17
Sam1 wrote:
VeritasPrepKarishma wrote:
shashankp27 wrote:
how does it 'fall apart' ? could you please elaborate...

Focus on the question's wording:
If it is true that –6 <= n <= 10, which of the following must be true?

'must be true' implies that no matter what value n takes (out of the given range), 'which of the following will definitely hold?'
We have to find that option that will remain true. It is different from 'which of the following CAN be true?' i.e. which of the following is possible...
Given -6 <= n <= 10

n = -6 is possible. But it will not hold for all possible values of n i.e. if n = 5, then n is not equal to -6. So 'n = -6' is not a 'must be true' condition.

On the other hand, n > -8 will always be true.
If n = -6, then n > -8
If n = 0, then n > -8
If n = 4, then n > -8
If n = 10, then n > -8
Hope you got the point. No matter which value n takes out of the available values, n > -8 will always be true. For every value of n, n will be more than -8.
Therefore, answer will be C.

GMAT loves to lay this trap. Be very careful. Make sure you understand exactly what the question is asking.

Thank you for the explanation. I have a question if it says n>-8 could it also mean that n could anywhere between-8 and infinity. However the stem sayd that n is less than 10. Hence I got a little confused. Could you please clarify?

The stem says that $$-6\leq{n}\leq{10}$$. Any value of n from this range (any value of n possible) is greater than -8. Thus C is always true.

Hope it's clear.
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Kudos [?]: 135345 [0], given: 12688

Intern
Joined: 18 Sep 2013
Posts: 27

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Re: Problem solving - inequality - 700 level [#permalink]

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06 Dec 2013, 10:03
Bunuel"[quote="VeritasPrepKarishma wrote:
shashankp27 wrote:
how does it 'fall apart' ? could you please elaborate...

Focus on the question's wording:
If it is true that –6 <= n <= 10, which of the following must be true?

'must be true' implies that no matter what value n takes (out of the given range), 'which of the following will definitely hold?'
We have to find that option that will remain true. It is different from 'which of the following CAN be true?' i.e. which of the following is possible...
Given -6 <= n <= 10

n = -6 is possible. But it will not hold for all possible values of n i.e. if n = 5, then n is not equal to -6. So 'n = -6' is not a 'must be true' condition.

On the other hand, n > -8 will always be true.
If n = -6, then n > -8
If n = 0, then n > -8
If n = 4, then n > -8
If n = 10, then n > -8
Hope you got the point. No matter which value n takes out of the available values, n > -8 will always be true. For every value of n, n will be more than -8.
Therefore, answer will be C.

GMAT loves to lay this trap. Be very careful. Make sure you understand exactly what the question is asking.

Thank you for the explanation. I have a question if it says n>-8 could it also mean that n could anywhere between-8 and infinity. However the stem sayd that n is less than 10. Hence I got a little confused. Could you please clarify?[/quote]

The stem says that $$-6\leq{n}\leq{10}$$. Any value of n from this range (any value of n possible) is greater than -8. Thus C is always true.

Hope it's clear.[/quote]
yes it does. Thank you.

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Re: If it is true that -6 =< n =<10, which of the [#permalink]

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19 Jul 2017, 06:49
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Re: If it is true that -6 =< n =<10, which of the   [#permalink] 19 Jul 2017, 06:49

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