Give a numerical example to show that "a<b and c<d => a-c<b-d" is false.
Let "a=1,\\ b=2,\\ c=1, \\ d=3" .
Then "a<b" and "c<d" , but "a-c>b-d" , since "0>-1" .
Therefore, "\u201ca<b,\\ c<d\\ \\Rightarrow \\ a-c<b-d\u201d" is false.
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