which pairs of statements are logically equivalent? select two options. the inverse and the contrapositive…

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

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

Brief Explanations:

In logic, for a conditional statement "if p then q":

  • The contra - positive is "if not q then not p". A conditional statement and its contra - positive are logically equivalent.
  • The inverse is "if not p then not q" and the converse is "if q then p". The inverse and the converse are logically equivalent to each other.

Answer:

B. the original conditional statement and its contrapositive D. the converse and the inverse of the original conditional statement