Prove it true or false?

2014-10-25 12:22 pm
if a<=b and c=<d than |a-c|=<|b-d|

回答 (2)

2014-10-25 12:38 pm
False: Counter example — 0<=2 and 1=<2 but |0-1|>|2-2|
2014-10-25 1:06 pm
We just need one counterexample to prove this false.
Let a = 3, b = 9, c = 5, and d = 8.
3 <= 9 and 5 <= 8 but
|3 - 5| = 2 >= |9 - 8| = 1


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