SOLUTION: if n is any negative number ,which of the following must be positive ? a n/2 b 2n c n + 2 d n - 2 e 2 - n

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Question 303733: if n is any negative number ,which of the following must be positive ?
a n/2 b 2n c n + 2 d n - 2 e 2 - n

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
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If n is a negative number, then n%3C0. Now multiply both sides by -1 to get -n%3E0 (notice the sign change). Now simply add two to both sides to get 2-n%3E2. Since 2-n%3E2, this means that 2-n is definitely greater than zero. So 2-n is positive for all negative values of 'n'.