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

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by BTGModeratorVI » Thu Jun 11, 2020 8:39 am
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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


Answer: D
Source: Veritas Prep
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Re: If -2x > -3y, which of the following must be true?

by Brent@GMATPrepNow » Thu Jun 11, 2020 4:36 pm
BTGModeratorVI wrote: ↑
Thu Jun 11, 2020 8:39 am
 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


Answer: D
Source: Veritas Prep
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?

by Scott@TargetTestPrep » Wed Jun 17, 2020 3:26 am
BTGModeratorVI wrote: ↑
Thu Jun 11, 2020 8:39 am
 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


Answer: D
Source: Veritas Prep
Solution:


Let’s divide each side of the inequality by -2, remembering to switch the direction of the inequality since we are dividing by a negative number:

x < 3y/2

Answer: D

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