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Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n

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Math Expert
Joined: 02 Sep 2009
Posts: 58117
Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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14 Mar 2017, 02:57
00:00

Difficulty:

85% (hard)

Question Stats:

39% (01:43) correct 61% (01:44) wrong based on 98 sessions

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Is m ≠ n ?

(1) (m – n)(m + n) < 0
(2) |m + n| > m + n

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Joined: 26 Mar 2013
Posts: 2326
Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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15 Mar 2017, 18:12
1
Bunuel wrote:
Is m ≠ n ?

(1) (m – n)( m + n) < 0
(2) |m + n| < m + n

Dear Bunuel,

Is statement 2 correct? I tried to came up with any numbers to support but I failed.

I doubt that the question has something wrong.
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Joined: 26 Mar 2013
Posts: 2326
Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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16 Mar 2017, 07:09
1
2
Is m ≠ n ?

(1) (m – n)(m + n) < 0

If m=n or m=-n...........(m – n)(m + n) =0........this is not the case in fact 1

Therefore, m ≠ n

Sufficient

(2) |m + n| > m + n

Let m=n=-1 ..... |-1 - 1| > -1 - 1.........|-2| > -2........2>2...........Answer is NO

Let m -2 & n=1 ..... |-2 + 1| > -2 + 1.........|-1| > -1........1>-1...........Answer is Yes

Insufficient

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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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15 Mar 2017, 05:36
St 1: -n<m<n. therefore m is not equal to n ever. ANSWER

St 2: |m+n|<m+n. therefore m is not equal to n ever. ANSWER

option D
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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15 Mar 2017, 16:22
ByjusGMATapp wrote:
St 1: -n<m<n. therefore m is not equal to n ever. ANSWER

St 2: |m+n|<m+n. therefore m is not equal to n ever. ANSWER

option D

ByjusGMATapp,

How can you conclude that m is not equal to n, if St 2 is just an impossible expression?
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Joined: 02 Sep 2009
Posts: 58117
Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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16 Mar 2017, 06:57
Mo2men wrote:
Bunuel wrote:
Is m ≠ n ?

(1) (m – n)( m + n) < 0
(2) |m + n| < m + n

Dear Bunuel,

Is statement 2 correct? I tried to came up with any numbers to support but I failed.

I doubt that the question has something wrong.

Edited. It's |m + n| > m + n. Thank you.
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n  [#permalink]

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05 Aug 2019, 10:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Is m ≠ n ? (1) (m – n)(m + n) < 0 (2) |m + n| > m + n   [#permalink] 05 Aug 2019, 10:36
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