With proper justification, state the negation of the following. (p → q) ∧ r

EXERCISE 1.8Q 4.3   PAGE 21
Exercise 1.8 | Q 4.3 | Page 21

With proper justification, state the negation of the following.

(p → q) ∧ r


SOLUTION

~[(p → q) ∧ r]

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

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