SOLUTION: If L,M belongs to R and L<=M+e,e>0 then prove L<=M. Thank you

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Question 484824: If L,M belongs to R and L<=M+e,e>0 then prove L<=M.
Thank you
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
That is not necessarily true, because L <= M is a weaker inequality than L <= M+e. For example, we can let L = 10, M = 9, e = 2 (which satisfies L <= M+e), but L<=M is not true.