The negation of the statement q ∧ (r v p ) is ¬q v ¬r ∧ ¬p
Step-by-step explanation
The Demogan's law state:
¬(p∧ q) = ¬p v ¬q
¬(p v q) = ¬p ∧ ¬q
Applying it to find the negation of;
q ∧ (r v p )
¬ ( q ∧ (r v p ) ) = ¬q v ¬(r v p) = ¬q v ¬r ∧ ¬p
Therefore; the negation of the statement q ∧ (r v p ) is ¬q v ¬r ∧ ¬p