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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 15639

GRE 1: Q160 V160

x < 5 and y > 12 [#permalink]

13 Jun 2018, 12:37

Expert Reply

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Question Stats:

73% (00:34) correct

26% (00:23) wrong

based on 134 sessions

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$x < 5$ 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.

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grefox

Intern

Joined: 21 Nov 2017

Posts: 33

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

fixzion

Intern

Joined: 10 Oct 2017

Posts: 9

Re: x < 5 and y > 12 [#permalink]

24 Sep 2018, 20:00

why cant X be negative?

grefox

Intern

Joined: 21 Nov 2017

Posts: 33

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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Sawant91

Manager

Joined: 22 Jul 2018

Posts: 80

Re: x < 5 and y > 12 [#permalink]

11 Nov 2018, 19:08

Can you please give me the list of inequality principle?

Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 15639

GRE 1: Q160 V160

Re: x < 5 and y > 12 [#permalink]

13 Nov 2018, 11:21

Expert Reply

Use this book.

Regards

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

Intern

Joined: 06 May 2020

Posts: 15

Re: x < 5 and y > 12 [#permalink]

13 May 2020, 12:08

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.

Asmakan

Senior Manager

Joined: 17 Aug 2019

Posts: 293

Re: x < 5 and y > 12 [#permalink]

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