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Compare m > 0, n > 0
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11 Oct 2016, 13:02
11 Oct 2016, 13:02
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Question Stats:
86% (00:29) correct
13% (00:37) wrong based on 157 sessions
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m > 0, n > 0
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
m/mn |
n/mn |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Drill 1
Question: 11
Page: 284
Question: 11
Page: 284
Re: Compare m > 0, n > 0
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11 Oct 2016, 13:06
11 Oct 2016, 13:06
1
Expert Reply
1
Bookmarks
Explanation
Time to Plug In! If you make m = 2 and n = 3, then Quantity A becomes \(\frac{2}{2*3}=\frac{1}{3}\), and Quantity B becomes \(\frac{3}{2*3}=\frac{1}{2}\). Quantity B is bigger; eliminate choices (A) and (C). However, if you make and n = 2, then the situation is reversed: Quantity A will be \(\frac{1}{2}\), and Quantity B will be \(\frac{1}{3}\). Eliminate choice (B); the answer must be choice D.
Time to Plug In! If you make m = 2 and n = 3, then Quantity A becomes \(\frac{2}{2*3}=\frac{1}{3}\), and Quantity B becomes \(\frac{3}{2*3}=\frac{1}{2}\). Quantity B is bigger; eliminate choices (A) and (C). However, if you make and n = 2, then the situation is reversed: Quantity A will be \(\frac{1}{2}\), and Quantity B will be \(\frac{1}{3}\). Eliminate choice (B); the answer must be choice D.
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Re: Compare m > 0, n > 0
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12 Nov 2016, 08:13
12 Nov 2016, 08:13
2
sandy wrote:
m > 0, n > 0
Quantity A |
Quantity B |
m/mn |
n/mn |
Let's use the matching operations approach
NOTE: since m > 0 and n > 0, we can be certain that mn > 0 (that is mn is POSITIVE)
Given:
Quantity A: m/mn
Quantity B: n/mn
Multiply both sides by mn to get:
Quantity A: m
Quantity B: n
The given info only tells us that m and n are both positive.
So, there's no way to tell which quantity is greater
Answer:
Show: ::
D
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