Write $p \rightarrow \lnot q$ in CNF form with only and ,or and brackets

Question

Write $p \rightarrow \lnot q$ in CNF form with only and, or, and/or brackets

How on earth would I even do this? Completely lost! Any help appreciated.

Answer 1

Recall: $$p\rightarrow \lnot q \equiv \lnot p \lor \lnot q$$

The right-hand side is in conjunctive normal form (CNF).

Please take a look at the linked Wikipedia entry and review what conjunctive normal form permits (e.g., you don't mention that negated literals are permitted (e.g., the literals in this example would be $p$ and $q$) and what it does not allow, as well as some nice examples illustrating statements expressed in conjunctive normal form.