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

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Bunuel
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If −2x > −3y, which of the following must be true? [#permalink] If −2x > −3y, which of the following must be true?   15 Apr 2018, 09:50
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A
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C
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E

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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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D
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shobhitsingh309
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Re: If −2x > −3y, which of the following must be true? [#permalink] If −2x > −3y, which of the following must be true?   15 Apr 2018, 10:13
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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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BrentGMATPrepNow
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Re: If −2x > −3y, which of the following must be true? [#permalink] If −2x > −3y, which of the following must be true?   15 Apr 2018, 10:18
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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]
Answer: D

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Re: If −2x > −3y, which of the following must be true? [#permalink] If −2x > −3y, which of the following must be true?   15 Apr 2018, 13:33
2x<3y
--> x<3y/2

Answer (D)
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Re: If −2x > −3y, which of the following must be true? [#permalink] If −2x > −3y, which of the following must be true?   29 Apr 2018, 05:30
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] If −2x > −3y, which of the following must be true?   25 Mar 2020, 05:21
Expert Reply
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


If we multiply the given inequality by -1, we have:

2x < 3y

x < 3y/2

Answer: D
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Re: If −2x > −3y, which of the following must be true? [#permalink] If −2x > −3y, which of the following must be true?   11 Feb 2022, 08:37
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Re: If −2x > −3y, which of the following must be true? [#permalink]
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