Topic: contraposition list of topics
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	A proof by contraposition		2012-10-19
		From Rahul: I am not able to understand the following, To prove that if for all e>0, |x|0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|= Thanks in advance!' Rahul. Answered by Penny Nom.
	A proof by contraposition		2006-03-16
		From Eban: 1)by mathematical induction prove that 12 + 32 + 52 + ...... + (2k-1)2 = (1/3)k(2k-1)(2k+1) for all positive integers k. 2)show that the contrapositive of the following statement is true. if 1 + M7 is even, then M is odd. Answered by Stephen La Rocque.

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