Given a conditional statement p → q, find the inverse of its inverse, the inverse of its converse, and the inverse of its contra

Question

3 years ago

13

positive.

1 answer:

stiks02 [169] · Answer 1 · 2022-12-06T06:04:41+03:00

The inverse of an implication p ⇒ q is ¬p ⇒ ¬q.

The converse of p ⇒ q is q ⇒ p.

The contrapositive of p ⇒ q is ¬q ⇒ ¬p.

Then

• the inverse of the inverse of p ⇒ q is p ⇒ q

• the inverse of the the converse of p ⇒ q is ¬q ⇒ ¬p

• the inverse of the contrapositive of p ⇒ q is q ⇒ p