If P implies Q, an equivalent statement is:

- Q implies P
- Q is a necessary condition for P
- P is a necessary condition for Q
- Not P implies Q
- Nor P implies not Q

The converse, inverse, and negative are not equivalent statements. The contrapositive,～Q→～P, is equivalent and this is the same as saying that Q is a necessary condition for P. So, the answer is B.

Determine whether each set is well defined:

- The set of dog breeds that are cute.
- The set of women who have won the United States Open Tennis Championship.

- Not defined because cuteness is subjective.
- Defined because there is a limited number of champions.

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