Answer
The given compound statement can be written in simple statements as \[p,\text{ and }q\]. Here, \[p,\text{ and }q\]represents three simple statements:
p: You know what you believe.
\[q\]: I can answer your question.
Use the representation to re-write the statement as:
If p then q, and not q.
‘If-then’ is represented by the symbol ‘\[\to \]’, ‘And’ is represented by the symbol ‘\[\wedge \]’, and ‘Not’ is represented by the symbol ‘~’.
Use the symbols to write the compound statement in symbolic form as:
\[\left( p\to q \right)\wedge \tilde{\ }q\]