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If m<0, which of the following must be true?

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If m<0, which of the following must be true?  [#permalink]

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New post 22 Feb 2017, 00:21
Bunuel wrote:
iMyself wrote:
Bunuel wrote:

Because if m is a number between -1 and 0, then B won't be true.

Hi Bunuel,
Question stem says:
m<0, that means m is always negative. So, how do you consider '''m is a number between -1 and 0'''?
Thank you...


Because IF m is a number between -1 and 0, then B won't be true.

This is a response to a post asking why is not B an answer.

C says:
m ≤ 1, that means m is less than 1 up to negative infinity (i.e., m may be -100000). If m is a number between -1 and 0, then how C satisfy the question stem?
Thank you Bunuel for your nice help...
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Re: If m<0, which of the following must be true?  [#permalink]

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New post 22 Feb 2017, 00:27
1
iMyself wrote:
C says:
m ≤ 1, that means m is less than 1 up to negative infinity (i.e., m may be -100000). If m is a number between -1 and 0, then how C satisfy the question stem?
Thank you Bunuel for your nice help...


C is correct because we are given that m<0 (m is negative) and since m is negative then no matter what it is it's for sure ≤ 1.

Now, that particular response was as to why B is not correct. IF m is a number between -1 and 0, then B, which says that m is less than -1, won't be true.
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Re: If m<0, which of the following must be true?  [#permalink]

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New post 22 Feb 2017, 03:37
Bunuel wrote:
iMyself wrote:
C says:
m ≤ 1, that means m is less than 1 up to negative infinity (i.e., m may be -100000). If m is a number between -1 and 0, then how C satisfy the question stem?
Thank you Bunuel for your nice help...


C is correct because we are given that m<0 (m is negative) and since m is negative then no matter what it is it's for sure ≤ 1.

Now, that particular response was as to why B is not correct. IF m is a number between -1 and 0, then B, which says that m is less than -1, won't be true.

Thanks with +2 kudos. Yes, I got it Bunuel finally. It's simple but tricky :). Can you say what difficulty level it may carry? just curiosity.
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Re: If m<0, which of the following must be true?  [#permalink]

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New post 19 Jun 2017, 20:20
bagdbmba wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0


P.S: Bunuel/VeritasPrepKarishma- guys I would request you to provide an explanation on this question.Also, please let me know whether it's a 700+ problem or not?
Folks-please come up with your explanations at the same time.


One way to tackle this question (s) is to think in terms of necessary condition. Must be true is something that necessarily hold true.
So if we negate an answer choice, then the prompt must also be negated.

In the choices above let us go one by one-
1) negate A==> m < -100 . This will lead to affirm the prompt. or m> 100 . This will lead to rejecting the prompt. We want only a no/rejection answer.
2) reject B ==> m> -1 . This again leads to both acceptance m = -1/2 or rejection m = 5.
3) reject c == m> 1 . This only leads to rejection ..if m > 1 then no way can we have m <0. So this is our answer!
4) m is not equal to 1/2 and m is not equal to 1/2. again we can have positive and negative values. Affirmation and rejection are both possible
5) rejecting E, it is easy to see why it will also lead to rejection or affirmation.

Hope this helps
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Re: If m<0, which of the following must be true?  [#permalink]

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New post 20 Jun 2017, 18:17
bagdbmba wrote:
If m<0, which of the following must be true?

A. –100 < m < 100
B. m ≤ –1
C. m ≤ 1
D. m^2 ≥ 1/4
E. –100 < m < 0


We are given that m is a negative number and must determine which of the answer choices must be true. Scanning the answers, we see that the only answer that has to be true IN ALL CASES is m must be less than or equal to 1, since all negative numbers are less than or equal to 1.

Answer: C
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Re: If m<0, which of the following must be true?  [#permalink]

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New post 16 Aug 2018, 10:32
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Re: If m<0, which of the following must be true? &nbs [#permalink] 16 Aug 2018, 10:32

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