posted by Cheyenne on .
The inverse of conditional A is given below. Write conditional A, its converse,and its contrapositive. Explain your reasoning.
If I received a detention,then I did not arrive at school on time.
p=I receive a detention
q=I did not arrive at school on time
the given proposition is therefore:
contrapositive = ¬q -> ¬p
inverse = ¬p -> ¬q
converse = q -> p
1. the inverse of the inverse of A is A itself.
2.the proposition and its contrapositive are logically equivalent.
3.the inverse and the converse are logically equivalent. BUT the proposition and the converse are NOT logically equivalent.
Can you explain if you still have problems?
This response answers the question you had in the other post under the name of Cassie.