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# x < 5 and y > 12

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Founder
Joined: 18 Apr 2015
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Kudos [?]: 3381 [1] , given: 12176

x < 5 and y > 12 [#permalink]  13 Jun 2018, 12:37
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Expert's post
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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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Intern
Joined: 21 Nov 2017
Posts: 33
Followers: 0

Kudos [?]: 17 [0], given: 0

Re: x < 5 and y > 12 [#permalink]  13 Jun 2018, 17:37
Quantity A = y - x > 12 - 5 = 7 = B
--> A > B
--> A
Note: x < 5 --> -x > -5
Intern
Joined: 10 Oct 2017
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Kudos [?]: 4 [0], given: 0

Re: x < 5 and y > 12 [#permalink]  24 Sep 2018, 20:00
why cant X be negative?
Intern
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Kudos [?]: 17 [0], given: 0

Re: x < 5 and y > 12 [#permalink]  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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Manager
Joined: 22 Jul 2018
Posts: 80
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Kudos [?]: 15 [0], given: 42

Re: x < 5 and y > 12 [#permalink]  11 Nov 2018, 19:08
Can you please give me the list of inequality principle?
Founder
Joined: 18 Apr 2015
Posts: 13344
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Kudos [?]: 3381 [0], given: 12176

Re: x < 5 and y > 12 [#permalink]  13 Nov 2018, 11:21
Expert's post
Use this book.

Regards
Attachments

GMAT Club Math Book v3 - Jan-2-2013.pdf [2.83 MiB]

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Intern
Joined: 06 May 2020
Posts: 15
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Kudos [?]: 10 [1] , given: 30

Re: x < 5 and y > 12 [#permalink]  13 May 2020, 12:08
1
KUDOS
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.
Senior Manager
Joined: 17 Aug 2019
Posts: 266
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Kudos [?]: 36 [0], given: 65

Re: x < 5 and y > 12 [#permalink]  23 May 2020, 11:29
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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