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If \(m\) and \(n\) are negative integers, which of the following must be true?

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If \(m\) and \(n\) are negative integers, which of the following must be true?

by M7MBA » Thu Nov 19, 2020 8:24 am

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If \(m\) and \(n\) are negative integers, which of the following must be true?

I. \(m + n < 0\)
II. \(mn > 0\)
III. \(mn > n\)

A. I only
B. II only
C. I and II
D. I and III
E. I, II, and III

Answer: E

Source: Princeton Review
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Re: If \(m\) and \(n\) are negative integers, which of the following must be true?

by Scott@TargetTestPrep » Mon Nov 30, 2020 10:51 am
M7MBA wrote: ↑
Thu Nov 19, 2020 8:24 am
 If \(m\) and \(n\) are negative integers, which of the following must be true?

I. \(m + n < 0\)
II. \(mn > 0\)
III. \(mn > n\)

A. I only
B. II only
C. I and II
D. I and III
E. I, II, and III

Answer: E

Source: Princeton Review
Solution:

Since the sum of the two negative numbers is negative, we see that I is true.

Similarly, since the product of two negative numbers is positive, we see that II is true.

Lastly, since the product of m and n, mn, is positive (because they are both negative), mn is greater than n (because n is a negative number). Therefore, III is true also.

Answer: E

Scott Woodbury-Stewart
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