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

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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