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

EXERCISE 1.8Q 2.1   PAGE 21

Exercise 1.8 | Q 2.1 | Page 21

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

(p → r) ∧ q

SOLUTION

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

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