Posted by **Cheyenne ** on Tuesday, August 30, 2011 at 5:31pm.

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**, Tuesday, August 30, 2011 at 6:30pm
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**, Tuesday, August 30, 2011 at 6:40pm
Des

- Geometry -
**MathMate**, Tuesday, August 30, 2011 at 9:33pm
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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