Geometry
posted by Cheyenne .
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.

Geometry 
MathMate
If
p=I receive a detention
q=I did not arrive at school on time
the given proposition is therefore:
p>q
contrapositive = ¬q > ¬p
inverse = ¬p > ¬q
converse = q > p
Notes:
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. 
Geometry 
Cheyenne
Des

Geometry 
MathMate
Can you explain if you still have problems?
This response answers the question you had in the other post under the name of Cassie.
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