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WE:**Business Development (Energy and Utilities)**

If m – n > 3, then which of the following must be true?
[#permalink]
18 Mar 2018, 06:23

1

Expert Reply

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Question Stats:

If m – n > 3, then which of the following must be true?

Indicate all possible values.

A. m is an integer

B. n is an integer

C. m > n

D. m + n > 0

E. m – n > 0

F. m × n > 0

G. m ÷ n > 0

_________________

Indicate all possible values.

A. m is an integer

B. n is an integer

C. m > n

D. m + n > 0

E. m – n > 0

F. m × n > 0

G. m ÷ n > 0

Drill 2

Question: 12

Page: 499

Question: 12

Page: 499

_________________

Sandy

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Try our free Online GRE Test

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4805**

WE:**Business Development (Energy and Utilities)**

Re: If m – n > 3, then which of the following must be true?
[#permalink]
21 Mar 2018, 13:58

2

Expert Reply

Explanation

Try plugging in values for m and n to the inequality in the question.

If m = 5 and n = 1, both numbers are integers, so choices (A) and (B) work as do all of the other choices.

But what if m and n are negative decimals, say –2.3 and –6.3? Then choices (A) and (B) don’t work, since neither number is an integer; eliminate them.

Choice (C) still works.

Choice (D) is out, since the sum of the two numbers is negative, but the difference is positive, leaving choice (E) in.

Choices (F) and (G) also still work. However, by switching m to a positive value, such as 5, you can knock out choices (F) and (G). Only choices (C) and (E) will work no

matter what numbers you plug in.

_________________

Sandy

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Try our free Online GRE Test

Try plugging in values for m and n to the inequality in the question.

If m = 5 and n = 1, both numbers are integers, so choices (A) and (B) work as do all of the other choices.

But what if m and n are negative decimals, say –2.3 and –6.3? Then choices (A) and (B) don’t work, since neither number is an integer; eliminate them.

Choice (C) still works.

Choice (D) is out, since the sum of the two numbers is negative, but the difference is positive, leaving choice (E) in.

Choices (F) and (G) also still work. However, by switching m to a positive value, such as 5, you can knock out choices (F) and (G). Only choices (C) and (E) will work no

matter what numbers you plug in.

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Moderator

Joined: **16 Apr 2020 **

Status:**Founder & Quant Trainer**

Affiliations: **Prepster Education**

Posts: **1349**

Location: **India**

WE:**Education (Education)**

Re: If m – n > 3, then which of the following must be true?
[#permalink]
16 Feb 2021, 08:46

3

sandy wrote:

If m – n > 3, then which of the following must be true?

Indicate all possible values.

A. m is an integer

B. n is an integer

C. m > n

D. m + n > 0

E. m – n > 0

F. m × n > 0

G. m ÷ n > 0

Indicate all possible values.

A. m is an integer

B. n is an integer

C. m > n

D. m + n > 0

E. m – n > 0

F. m × n > 0

G. m ÷ n > 0

Drill 2

Question: 12

Page: 499

Question: 12

Page: 499

Given: m - n > 3 or m > n +3

A. m in an integer: Not necessarily

5 - 1 > 3 and 5.1 - 1.1 > 3

B. n is an integer: Not necessarily

Same explanation as above

C. m > n: YES

We already know, m > n + 3

D. m + n > 0: Not necessarily

m and n can both be negative and still satisfy the inequality above; m = -2 and n = -7

(-2) > (-7) + 3

but, (-2) + (-7) is not greater than 0

E. m - n > 0: YES

That is what the question says, if m - n is greater than 3, then it must be greater than 0

F. mn > 0: Not necessarily

m could be +ve and n could be -ve, making mn < 0

Example: m = 2 and n = -2

G. \(\frac{m}{n}\) > 0: Not necessarily

Again, m could be +ve and n could be -ve, making \(\frac{m}{n}\) < 0

_________________

I hope this helps!

Regards:

Karun Mendiratta

Founder and Quant Trainer

Prepster Education, Delhi, India

https://www.instagram.com/prepster_education/

Regards:

Karun Mendiratta

Founder and Quant Trainer

Prepster Education, Delhi, India

https://www.instagram.com/prepster_education/

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