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

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ksha
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Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   Updated on: 08 Jul 2021, 00:27
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Is m > n ?

(1) n – m + 2 > 0
(2) n – m – 2 > 0
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Official Answer
B

Originally posted by ksha on 24 Aug 2014, 07:58.
Last edited by Bunuel on 08 Jul 2021, 00:27, edited 2 times in total.
Renamed the topic and edited the question.
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Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   Updated on: 17 Jul 2021, 09:38
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Check out below two posts to understand Inequalities in Detail

How to Solve: Inequalities (Basic)
How to Solve: Inequality Problems - Algebra and Sine Wave/Wavy Method

Question is m > n or is m -n > 0
STAT1
n-m +2 > 0
m - n < 2, So, m-n can be > 0 or can be < 0 also
So, INSUFFICIENT

STAT2
n-m-2 > 0
=> m - n < -2
=> m -n < 0 for sure
=> m - n is NOT > 0
So, SUFFICIENT

So, Answer will be B
Hope it helps!

Watch the following video to learn Basics of Inequalties


Originally posted by BrushMyQuant on 24 Aug 2014, 10:25.
Last edited by BrushMyQuant on 17 Jul 2021, 09:38, edited 2 times in total.
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   18 May 2016, 16:28
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As the Variable Approach Method states, we can modify the original condition and the question. Then the question becomes n<m?, n-m<0?. If you look at the condition 2), we have n-m>2>0. The answer is no and the condition is sufficient. Thus, the correct answer is B.

- Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
 
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   29 Jan 2017, 04:06
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ksha wrote:
Is \(m > n\) ?

(1) \(n – m + 2 > 0\)
(2) \(n – m – 2 > 0\)


We can rephrase the question: "Is \(m – n > 0\) ?" 

(1) INSUFFICIENT:  If we solve this inequality for \(m – n\), we get \(m – n < 2\).  This does not answer the question "Is \(m – n > 0\) ?".
(2) SUFFICIENT:  If we solve this inequality for \(m – n\), we get \(m – n < -2\).  This answers the question "Is \(m – n > 0\) ?" with an absolute NO.

The correct answer is B.
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   28 Oct 2014, 23:15
Hi Bunuel cud you pls put some light on this questionBunuel
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   29 Oct 2014, 02:41
monty6000 wrote:
Hi Bunuel cud you pls put some light on this questionBunuel



Hello Monty6000,

Is there anything in the solution provided or question that you did not understand??

Please post your query or how did you approach the question or what do you think the answer should be and why
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   05 Apr 2017, 20:40
Is m > n ?

(1) n – m + 2 > 0
m -n < 2 NS.
(2) n – m – 2 > 0
m-n < -2 => m-n < 0 => m < n..
Suff.
B.
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   04 Jun 2020, 05:48
Is m > n ?

(1) n – m + 2 > 0

For m=2, n=1, the condition of (1) will hold and we can say that m>n

For m=2, n=3, the condition of (1) will hold, but we can say that m<n

Hence, (1) alone is not sufficient.


(2) n – m – 2 > 0

When we simplify this expression, we get n> (m+2).
This means that for any value of m, n will always be 2 units higher that m. In other words, n>m always. using (2) alone, we have a definite answer.

Hence, (B) is the right answer choice.
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Re: Is m > n ? (1) n – m + 2 > 0 (2) n – m – 2 > 0 [#permalink] New post   12 Sep 2021, 21:53
Could anyone tell me where I went wrong?

(1) n-m+2 > 0 --> n-m>-2 NS.
(2) n-m-2 > 0 --> n-m>2 N.S.

Combining 1 and 2 and Adding the two statements, 2n - 2m > 0 or 2(n-m) >0 or n>m. Gives a sufficient NO. So I went for C. But OA is B.
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Re: Is m > n ? (1) n m + 2 > 0 (2) n m 2 > 0 [#permalink] New post   27 Jun 2022, 09:13
ksha wrote:
Is m > n ?

(1) n – m + 2 > 0
(2) n – m – 2 > 0


target is m>n
or say m-n>0
#1
n-m+2>0
n>m-2
if m=0 then n>-2
so n can be 0 we get no to target or n = -1 we get yes to target
insufficient
#2
n>m+2
m=0 then n has to be >2 and its always > m as well
no to target and sufficient
option B
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Re: Is m > n ? (1) n m + 2 > 0 (2) n m 2 > 0 [#permalink] New post   20 Nov 2023, 10:22
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Re: Is m > n ? (1) n m + 2 > 0 (2) n m 2 > 0 [#permalink]
20 Nov 2023, 10:22
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