given the conditional statement ~p → q, which statement is logically equivalent?\no p → ~q\no ~p → ~q\no ~q…

Explanation:

Step1: Recall logical - equivalence rules

The contrapositive of a conditional statement (a\rightarrow b) is (\neg b\rightarrow\neg a), and a conditional statement is logically equivalent to its contrapositive. For the conditional statement (\neg p\rightarrow q), let (a = \neg p) and (b = q).

Step2: Find the contrapositive

The contrapositive of (\neg p\rightarrow q) is (\neg q\rightarrow\neg(\neg p)). Since (\neg(\neg p)=p), the contrapositive is (\neg q\rightarrow p).

Answer:

(\neg q\rightarrow p) (the last option)