Question

Determine which, if any, of the three statements are equivalent.
I) If the carpet is not clean, then Sheila will run the vacuum.
II) It is not the case that both the carpet is clean and Sheila will run the vacuum.
III) If the carpet is clean, then Sheila will not run the vacuum
I, II, and III are equivalent
I and II are equivalent
I and III are equivalent
II and III are equivalent
None are equivalent