which is logically equivalent to the converse of a conditional statement? the original conditional statement…

which is logically equivalent to the converse of a conditional statement? the original conditional statement the inverse of the original conditional statement the contrapositive of the original conditional statement the converse of the converse statement

which is logically equivalent to the converse of a conditional statement? the original conditional statement the inverse of the original conditional statement the contrapositive of the original conditional statement the converse of the converse statement

Answer

Brief Explanations:

Let the conditional statement be "if p then q" ($p\rightarrow q$). Its converse is "if q then p" ($q\rightarrow p$), and its inverse is "if not p then not q" ($\neg p\rightarrow\neg q$). By logical equivalence rules, the converse ($q\rightarrow p$) is logically equivalent to the inverse ($\neg p\rightarrow\neg q$).

Answer:

the inverse of the original conditional statement