If x and n are integers is the sum of x and n less than zero

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If x and n are integers is the sum of x and n less than zero [#permalink]

19 Feb 2012, 05:29

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If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1
(2) -10x > 10n

[Reveal] Spoiler: OA

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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

19 Feb 2012, 05:41

If x and n are integers, is the sum of x and n less than zero?

Question: is x+n<0?

(1) x + 3 < n – 1 --> x-n<-4. Plugging numbers is probably the best way to prove that this statement is not sufficient: x=0 and n=5 then the answer is NO but if x=-5 and n=0 then the answer is YES. Not sufficient.

(2) -10x > 10n --> 10x+10n<0 --> reduce by 10: x+n<0, hence the answer to the question is YES. Sufficient.

Answer: B.
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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

21 Feb 2012, 05:06

+1 B

Almost choose E :-(

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If x and n are integers, is the sum of x and n less than [#permalink]

01 Jun 2012, 14:59

[Searched, but unable to find the post]

If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1

(2) -2x > 2n

[Can we deal statement 1 without plugging number?]

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Re: If x and n are integers, is the sum of x and n less than [#permalink]

02 Jun 2012, 04:22

Using statement 1, x < n-4. x+n can thus be <0 if x and n are both <0 or it can be >0 if x and n are both >0. Insufficient.

Using statement 2, -2x>2n
=> x<-n
=> x+n<0. Sufficient.

B it is.
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Re: If x and n are integers, is the sum of x and n less than [#permalink]

02 Jun 2012, 06:03

BDSunDevil wrote:

[Searched, but unable to find the post]

If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1

(2) -2x > 2n

[Can we deal statement 1 without plugging number?]

Merging similar topics. Please ask if anything remains unclear.
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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

05 Jun 2012, 04:54

Thanks Bunel for the solution.

Re: If x and n are integers is the sum of x and n less than zero [#permalink] 05 Jun 2012, 04:54

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If x and n are integers is the sum of x and n less than zero

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If x and n are integers is the sum of x and n less than zero

If x and n are integers is the sum of x and n less than zero

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