Write the following compound statement in the symbolic form and then write its Converse, Inverse, and Contrapositive. Statement: If I like the teacher or the course is interesting, then I do not miss class.

Write the following compound statement in the symbolic form and then write its Converse, Inverse, and Contrapositive.
Statement: If I like the teacher or the course is interesting, then I do not miss class.

Solution:

Let

P = I like the teacher

Q = The course is interesting

R = I do miss class

In symbolic form

`P  V  Q \rightarrow ~ R`

Converse form

`~ R \rightarrow P V Q`

Inverse form

`\~( P  V Q \rightarrow ~ R)`

`R \rightarrow P  V  Q` 

Contrapositive form

`~(~ R \rightarrow P V Q)`

`R \rightarrow ~P V ~Q`