## Thinking Mathematically (6th Edition)

(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 miss class. $q:$ They take attendance $r:$ There are pop quizzes. Therefore, the provided compound statement can be written in the symbolic form as: $\sim p\leftrightarrow \left( q\vee r \right)$ (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$\sim p\leftrightarrow \left( q\vee r \right)$ has different truth value, then only resultant statement is false. Therefore, the statement is true when p is true and q and r are false.