Asked 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.
If I received a detention,then I did not arrive at school on time.
Answers
Answered by
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.
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.
Answered by
Cheyenne
Des
Answered by
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.
This response answers the question you had in the other post under the name of Cassie.
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