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

EXERCISE 1.8Q 4.1   PAGE 21

Exercise 1.8 | Q 4.1 | Page 21

With proper justification, state the negation of the following.

(p → q) ∨ (p → r)

SOLUTION

~[(p → q) ∨ (p → r)]

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

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