Question #290211

State the converse and contrapositive of each of the following implications.


(a) If it does not rain tonight, I will go fishing tomorrow.


(b) If it rains tonight, then I will stay at home.



1
Expert's answer
2022-01-25T16:18:28-0500

Converse of implication A    BA\implies B is B    AB\implies A

Contrapositive of implication A    BA\implies B is ¬B    ¬A\neg B\implies \neg A

So,


a) The converse is: If I will go fishing tomorrow, then it does not rain today

The contrapositive is: If I will not go fishing tomorrow, then it does rain today


b) The converse is: If I will stay at home, then it is rains tonight

The contrapositive is: If I will not stay at home, then it is not rains tonight


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