Answer
(a)
The provided compound statement can be written in simple statements as\[p,q,r\].
Here, \[p,q,r\]represents two simple statements:
\[p:\] I enjoy the class.
\[q:\] I choose the class based on the professor
\[r:\] I choose the class based on the course description.
Therefore, the provided compound statement can be written in the symbolic form as:
\[p\leftrightarrow \left( q\wedge \sim r \right)\]
(b)
The truth table is as follows:
c)
So, from the truth table, it can be stated that when the component of provided compound statement\[\left( p\leftrightarrow q \right)\vee \sim r\], has different truth value then only resultant statement is false.
Therefore, the statement is true when p, q, and r are all false.