Monday
October 20, 2014

Homework Help: Discreet Mathematical Structures

Posted by Anna on Thursday, October 7, 2010 at 9:56pm.

Use proof by contraposition to prove the following statement:

If A is the average of two positive real numbers then one of the two numbers is greater than or equal to A.

Proof.
Domain: positive real numbers
P: A=(x+y)/2
Q: x is greater than or equal to A or y is greater than or equal to A

Method: Assume P is true and Q is false and find a contradiction.

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