Question

Which pairs of statements are logically equivalent? Select two options.

the inverse and the contrapositive of the original conditional statement
the original conditional statement and its contrapositive
the original conditional statement and its inverse
the converse and the inverse of the original conditional statement
the converse and the contrapositive of the original conditional statement

Answer 1

- The original conditional statement and its contrapositive.
- The converse and the inverse of the original conditional statement.

Reason: p→q is logically equivalent to its contrapositive ¬q→¬p. The converse q→p is equivalent to the inverse ¬p→¬q.