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# If −2x > −3y, which of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 61508
If −2x > −3y, which of the following must be true?  [#permalink]

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15 Apr 2018, 08:50
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If −2x > −3y, which of the following must be true?

A. x/y > 3/2
B. x/y < 2/3
C. x > 3y/2
D. x < 3y/2
E. 2x > 3y

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Joined: 08 Apr 2018
Posts: 4
Re: If −2x > −3y, which of the following must be true?  [#permalink]

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15 Apr 2018, 09:13
1
Bunuel wrote:
If −2x > −3y, which of the following must be true?

A. x/y > 3/2
B. x/y < 2/3
C. x > 3y/2
D. x < 3y/2
E. 2x > 3y
-2x>-3y
So, 2x<3y
and x<3y/2

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GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4355
Re: If −2x > −3y, which of the following must be true?  [#permalink]

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15 Apr 2018, 09:18
2
Top Contributor
Bunuel wrote:
If −2x > −3y, which of the following must be true?

A. x/y > 3/2
B. x/y < 2/3
C. x > 3y/2
D. x < 3y/2
E. 2x > 3y

Take: −2x > −3y
Divide both sides by -2 to get: x < 3y/2 [since we divided by a NEGATIVE value, we reversed the direction of the inequality symbol]

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Joined: 17 Jan 2017
Posts: 59
Re: If −2x > −3y, which of the following must be true?  [#permalink]

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15 Apr 2018, 12:33
2x<3y
--> x<3y/2

Director
Joined: 02 Oct 2017
Posts: 704
Re: If −2x > −3y, which of the following must be true?  [#permalink]

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29 Apr 2018, 04:30
Just one catch in this question answer is D here
2x<3y

But u can't take y below x because we don't know value of y it could be either positive or negative
Because whenever negative value multiply or divided inequality sign change

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Re: If −2x > −3y, which of the following must be true?  [#permalink]

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20 Sep 2019, 08:54
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Re: If −2x > −3y, which of the following must be true?   [#permalink] 20 Sep 2019, 08:54
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