Friday, February 12, 2010

A contraposative was false to the original conditional statement. I just don't HOW to explain why it was false?

The conditional statement.


If angle one = 42 degrees and angle 2 = 138 degrees then angle one and angle two are supplementary.





The contraposative:


If angle one and angle two aren't supplementary then angle one doesn't = 42* and angle two doesn't = 138*


FALSE!





I know it's false because angle one and angle two can be not supplementary for many reasons, but I just can't come up with a GOOD reason why it wouldn't be. Or rather, I can't find one that best relates to the original conditional statement. A contraposative was false to the original conditional statement. I just don't HOW to explain why it was false?
The negation of ';A and B'; is ';not A or not B';. You've got ';and'; in your contrapositive where you should have ';or';.

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