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x < 5 and y > 12

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x < 5 and y > 12 [#permalink] New post 13 Jun 2018, 12:37
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Question Stats:

77% (00:34) correct 22% (00:30) wrong based on 107 sessions
\(x < 5\) and \(y > 12\)

Quantity A
Quantity B
\(y-x\)
\(7\)


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.
[Reveal] Spoiler: OA

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Re: x < 5 and y > 12 [#permalink] New post 13 Jun 2018, 17:37
Quantity A = y - x > 12 - 5 = 7 = B
--> A > B
--> A
Note: x < 5 --> -x > -5
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Re: x < 5 and y > 12 [#permalink] New post 24 Sep 2018, 20:00
why cant X be negative?
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Re: x < 5 and y > 12 [#permalink] New post 24 Sep 2018, 20:09
Of course, x can be negative. And when x is negative, y - x will always be larger than y. You can pick specific number to see what happens.(12 - -1) > 12
Hope it helps.

P/s: You should know the principle as follows

A > B (A - B > 0)
C > D (C - D > 0)
--> plus 2 inequalities, we have
A - D > B - C

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Re: x < 5 and y > 12 [#permalink] New post 11 Nov 2018, 19:08
Can you please give me the list of inequality principle?
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Re: x < 5 and y > 12 [#permalink] New post 13 Nov 2018, 11:21
Expert's post
Use this book. :)

Regards
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GMAT Club Math Book v3 - Jan-2-2013.pdf [2.83 MiB]
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Re: x < 5 and y > 12 [#permalink] New post 13 May 2020, 12:08
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Carcass wrote:
Use this book. :)

Regards

very useful book, I have just gone through a few sections,
easy to understand, many concepts are more clear now.
Thanx, stay blessed.
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Re: x < 5 and y > 12 [#permalink] New post 23 May 2020, 11:29
let B is your benchmark.
think of the max. value for x, let say it will be 4.9999
think of the minimum value for y, let say is 12.0001

then subtract : 12.0001-4.9999= 7.0002
still A greater
Re: x < 5 and y > 12   [#permalink] 23 May 2020, 11:29
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