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Multiply inequality by a -ve value

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contact.sumeshn
 Post subject: Multiply inequality by a -ve value
 Post Posted: Mon Jul 18, 2011 1:37 pm 
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Posts: 12
Solve for X

1.4/x < -1/3 and x < 0

2.-2x > 2n

Can someone please explain the concept of multiplying by a -ve value and flipping the inequality sign with the above two questions?

Thanks!
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biswas_sandeep
 Post subject: Re: Multiply inequality by a -ve value
 Post Posted: Tue Jul 19, 2011 2:39 am 
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Students


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1) 4/X < -1/3 => -X > 12 (Cross Multiplying the numbers) and
hence X< -12

2) 2X<-2n => X < -n

--------------------
I do not if this clears your doubt..

Thanks
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jnelson0612
 Post subject: Re: Multiply inequality by a -ve value
 Post Posted: Sat Jul 30, 2011 10:59 pm 
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ManhattanGMAT Staff


Posts: 1857
Thanks biswas. Yes, basically if we multiply or divide both sides of an inequality by a negative number, we must flip the sign.

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Jamie Nelson
ManhattanGMAT Instructor
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