The real number c is positive and the real numbers a and b are such that and . How can I disprove the case for all such a, b, and c? (The case works). When I tried it, I can't seem to get numbers that disprove it??
Last edited by mr fantastic; March 23rd 2010 at 02:24 AM.
Reason: Restored deleted question.
The real number c is positive and the real numbers a and b are such that and . How can I disprove the case for all such a, b, and c? (The case works). When I tried it, I can't seem to get numbers that disprove it??
How hard did you try? How about a= 100, b= 1, c= 1?
The real number c is positive and the real numbers a and b are such that and . How can I disprove the case for all such a, b, and c? (The case works). When I tried it, I can't seem to get numbers that disprove it??
I'm not quite sure I understand the problem here, because it seems very easy to find a counter-example. In order that , we must ensure that . So, for instance: