Converse, Inverse, Contrapositive

Statement:   If you work hard you will pass.

Translation to p -> q form:

 

Statement:   If you don't work hard you won't pass.

Translation to symbols:

 

Statement:   If you pass then you worked hard.

Translation to symbols:

 

Statement:   If you didn't pass then you didn't work hard.

Translation to symbols:

 

Truth Tables