given the conditional statement ~p → q, which statement is logically equivalent?\n○ p → ~q\n○ ~p → ~q\n○ ~q…

given the conditional statement ~p → q, which statement is logically equivalent?\n○ p → ~q\n○ ~p → ~q\n○ ~q → ~p\n○ ~q → p

given the conditional statement ~p → q, which statement is logically equivalent?\n○ p → ~q\n○ ~p → ~q\n○ ~q → ~p\n○ ~q → p

Answer

Explanation:

Step1: Recall logical equivalence rules

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

Step2: Find the contra - positive

The contra - positive of (\neg p\rightarrow q) is (\neg q\rightarrow\neg(\neg p)). Since (\neg(\neg p)=p), the contra - positive is (\neg q\rightarrow p).

Answer:

(\neg q\rightarrow p)