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If x(m - n) is a negative number, which of the following must be true?
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13 Dec 2021, 03:32
13 Dec 2021, 03:32
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If x(m - n) is a negative number, which of the following must be true?
I. x is positive
II. x is positive and n > m
III. x is negative and m > n
(A) I only
(B) I and II only
(C) II and III only
(D) I and III only
(E) I, II, and III
I. x is positive
II. x is positive and n > m
III. x is negative and m > n
(A) I only
(B) I and II only
(C) II and III only
(D) I and III only
(E) I, II, and III
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Re: If x(m - n) is a negative number, which of the following must be true?
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13 Dec 2021, 06:34
13 Dec 2021, 06:34
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Carcass wrote:
If x(m - n) is a negative number, which of the following must be true?
I. x is positive
II. x is positive and n > m
III. x is negative and m > n
(A) I only
(B) I and II only
(C) II and III only
(D) I and III only
(E) I, II, and III
I. x is positive
II. x is positive and n > m
III. x is negative and m > n
(A) I only
(B) I and II only
(C) II and III only
(D) I and III only
(E) I, II, and III
Let's consider a variety of cases in which x(m - n) is a negative number
One case: x = -1, m = 3 and n = 2 (this works because x(m - n) = -1(3 - 2) = -1, so these values satisfy the given information)
Since x can be NEGATIVE, we can eliminate answer choices A, B, D and D, since they all state that x MUST be positive.
By the process of elimination, the correct answer is C.
Re: If x(m - n) is a negative number, which of the following must be true?
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14 Aug 2024, 19:31
14 Aug 2024, 19:31
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep 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.
