Determine which, if any, of the three statements are equivalent.
-I. Jan is well or Jan is still recovering.
II. If Jan is still recovering, then Jan is not well.
III. If Jan is well, then Jan is not still recovering.
A) I and II are equivalent
B) II and III are equivalent
C) I, II, and III are equivalent
D) None are equivalent

Question

Quizplus · Accepted Answer

Statements II and III are logically equivalent because they both establish a mutual exclusivity between Jan being well and Jan still recovering. If Jan is still recovering (II), then she is not well, and if Jan is well (III), then she is not still recovering. Both imply that Jan cannot be both well and still recovering at the same time.

Determine Which, If Any, of the Three Statements Are Equivalent