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6 <= m <= 12

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6 <= m <= 12 [#permalink]  15 Oct 2017, 00:00
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Question Stats:

93% (00:26) correct 6% (00:16) wrong based on 44 sessions

$$6 \leq m \leq 12$$

 Quantity A Quantity B 9 - m m - 9

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: 6 <= m <= 12 [#permalink]  15 Oct 2017, 00:34
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It is easy to notice that is m is smaller than 9, quantity A is greater; if m = 9, quantity A and B are equal and if m is greater than 9, quantity B is greater.

Intern
Joined: 11 Jan 2018
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Kudos [?]: 37 [1] , given: 7

Re: 6 <= m <= 12 [#permalink]  02 Mar 2018, 12:51
1
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By using minima and maxima approach, we'll get minimum and maximum values of the two Quantities as below:

Quantity A: (Min = -3) and (Max = 3)
Quantity B: (Min = -3) and (Max = 3)

Here, it doesn't mean the two quantities are equal, rather it means If Quantity A is -3, then Quantity B is 3 and vice versa.

Thus, Choice D is correct.
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Re: 6 <= m <= 12 [#permalink]  02 Mar 2018, 19:05
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when m is between 6 and 12, we calculate A and B are in which period.
for A:
6 <= m <= 12
-12 <= -m <= -6 (- added)
9-12 <= 9-m <= 9-6 (9 added)
so 9-m = A is between -3 and 3

for B:
6 <= m <= 12
6-9 <= m-9 <= 12-9
Just the same, m-9 is between -3 and +3
although their period are the same but their value for different values of m are not equal.
so D is correct.
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Re: 6 <= m <= 12   [#permalink] 02 Mar 2018, 19:05
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