# Chapter 3 - Logic - Chapter Summary, Review, and Test - Review Exercises - Page 208: 41

See below.

#### Work Step by Step

The contrapositive of $p\rightarrow q$ is $\sim q\rightarrow \sim p$. The converse of $p\rightarrow q$ is $q \rightarrow p$. The inverse of $p\rightarrow q$ is $\sim p\rightarrow \sim q$. Hence here the converse is: If I pass all courses, then I worked hard. The inverse: If I don’t work hard, then I don’t pass some courses. The contrapositive: If I do not pass some course, then I did not work hard.

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