Question

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 statementWhich 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 1

Answer:

The correct option is;

The inverse of the original conditional statement

Step-by-step explanation:

The converse of a conditional statement is given as follows;

Conditional statement: If p then q            ${}$                                p → q

The converse of the conditional statement: If q then p  ${}$        q → p

The contrapositive of the conditional statement: If not q then not p  ${}$        ~q → ~p

Therefore, the conditional statement is logically equivalent to its contrapositive

The inverse of the conditional statement: If not p, then not q  ${}$        ~p → ~q

Similarly

The converse of the conditional statement is equivalent to the inverse of the conditional statement.