Multiply inequality by a -ve value

[contact.sumeshn]

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!

[biswas_sandeep]

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

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

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I do not if this clears your doubt..

Thanks

[jnelson0612]

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