Determine which, if any, of the three statements are equivalent.
-I. A check was mailed to you on Friday, or the check was not mailed to you on Thursday but the Check arrived late.
II. If the check was not mailed to you on Friday, then the check was not mailed to you on Thursday but the check arrived late.
III. The check arrived late, if and only if it was mailed to you on Friday or it was not mailed to you
On Thursday.
A) I, II and III are equivalent
B) I and II are equivalent
C) I and III are equivalent
D) None are equivalent

Question

Quizplus · Accepted Answer

Statements I and II are logically equivalent as they both describe scenarios involving the mailing of the check on Friday and its arrival. Statement III, however, introduces a biconditional relationship that is not equivalent to the other two.

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