SOLUTION: Given the following conditional statement, write the converse, the inverse, and the contrapositive statement for each. State if each statement is true or false. If the statements

Question 1043379: Given the following conditional statement, write the converse, the inverse, and the
contrapositive statement for each. State if each statement is true or false. If the statements
are false give counterexamples. �If you work in a hospital, then you are a doctor�.
a. The converse statement:
b. The inverse statement:
c. The contrapositive statement
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Nurses are not doctors but work in hospitals.

Conditional Statement:  P ->  Q
Inverse:               ~P -> ~Q
Converse:               Q ->  P
Contrapositive:        ~Q -> ~P

A conditional and its contrapositive always have the same truth value. The inverse and the converse always have the same truth value because the converse is the contrapositive of the inverse..

John

My calculator said it, I believe it, that settles it

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