SOLUTION: Determine which, if any, of the three statements are equivalent. I) If the dog wags its tail, then the dog is not calm. II) If the dog is not calm, then the dog wags its tail. I

Algebra ->  Subset -> SOLUTION: Determine which, if any, of the three statements are equivalent. I) If the dog wags its tail, then the dog is not calm. II) If the dog is not calm, then the dog wags its tail. I      Log On


   

Question 296648: Determine which, if any, of the three statements are equivalent.
I) If the dog wags its tail, then the dog is not calm.
II) If the dog is not calm, then the dog wags its tail.
III) If the dog is calm, then the dog does not wag its tail.
(Points :3)
I, II, and III are equivalent
I and II are equivalent
II and III are equivalent
I and III are equivalent
None are equivalent

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This type problem is usually looking for contra positives.
I and III are contra positives and are equivalent.
Negate both terms and switch position.