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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, 04:41
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.