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If -3x < 6, which of the following must be true?

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by M7MBA » Fri Apr 20, 2018 2:04 am
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If -3x < 6, which of the following must be true?

A. x < -3
B. x < -2
C. x > 3
D. x > -2
E. x > 0

The OA is the option D.

What is the best approach to solving this PS question? May someone helps me?
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by Brent@GMATPrepNow » Fri Apr 20, 2018 5:43 am
M7MBA wrote:If -3x < 6, which of the following must be true?

A. x < -3
B. x < -2
C. x > 3
D. x > -2
E. x > 0
Given: -3x < 6
Divide both sides by -3 to get: x > -2 [ASIDE: since we divided both sides by a NEGATIVE value (-3), we has to REVERSE the direction of the inequality]

Answer: D

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by [email protected] » Fri Apr 20, 2018 4:15 pm
Hi M7MBA,

We're told that -3X < 6. We're asked which of the following MUST be true. This question can be approached in a couple of different ways, including by TESTing VALUES.

The easiest value to choose for X would be X=0. With that one TEST, there's only one Answer that is true...

Final Answer: D

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by Jeff@TargetTestPrep » Mon Apr 23, 2018 4:48 pm
M7MBA wrote:If -3x < 6, which of the following must be true?

A. x < -3
B. x < -2
C. x > 3
D. x > -2
E. x > 0
We can divide both sides of the inequality by -3 (and don’t forget to switch the inequality sign) to obtain:

x > -2

Answer: D

Jeffrey Miller
Head of GMAT Instruction
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