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

which pairs of statements are logically equivalent? select two options.\n□ the inverse and the contrapositive of the original conditional statement\n□ the original conditional statement and its contrapositive\n□ the original conditional statement and its inverse\n□ the converse and the inverse of the original conditional statement\n□ the converse and the contrapositive of the original conditional statement

which pairs of statements are logically equivalent? select two options.\n□ the inverse and the contrapositive of the original conditional statement\n□ the original conditional statement and its contrapositive\n□ the original conditional statement and its inverse\n□ the converse and the inverse of the original conditional statement\n□ the converse and the contrapositive of the original conditional statement

Answer

Brief Explanations:

In logic, a conditional statement (p\rightarrow q) has an inverse (\neg p\rightarrow\neg q), a converse (q\rightarrow p), and a contrapositive (\neg q\rightarrow\neg p). The original conditional statement and its contrapositive are logically equivalent. Also, the converse and the inverse of a conditional statement are logically equivalent to each other.

Answer:

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