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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.

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

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16 Sep 2014, 04:09

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13 Mar 2016, 09:11

Clearly statement 1 is sufficient As far as statement 1 goes => there is no way we can convert a - relation to a + one.. Hence B is sufficient _________________

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