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

Question

Is m > n ?

(1) n – m + 2 > 0 
(2) n – m – 2 > 0

BrushMyQuant · Accepted Answer

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

monty6000 · Answer

Hi  Bunuel  cud you pls put some light on this question Bunuel

WoundedTiger · Answer

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

MathRevolution · Answer

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.

BillyZ · Answer

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 .

shekyonline · Answer

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.

jaisonsunny77 · Answer

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.

reyzr23 · Answer

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.

Archit3110 · Answer

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

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