Using the rules of negation, write the negation of the following: ~(p ∨ q) → r

EXERCISE 1.8Q 2.2   PAGE 21

Exercise 1.8 | Q 2.2 | Page 21

Using the rules of negation, write the negation of the following:

~(p ∨ q) → r

SOLUTION

~[~(p ∨ q) → r] ≡ ~(p ∨ q) ∧ ~r  ....[Negation of implication]

≡ (~p ∧ ~q) ∧ ~r   .....[Negation of disjunction]