Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion.
I) If the cat does not have claws, then the cat cannot scratch the furniture.
II) If the cat can scratch the furniture, then the cat has claws.
III) If the cat has claws, then the cat can scratch the furniture.
a. I and II are equivalent
b. I and III are equivalent
c. II and III are equivalent
d. I, II, and III are equivalent
e. None are equivalent

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this is hard.

To be more specific the converse of a statement is not logically equivalent to the statement.

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