Exercise 1.8 | Q 2.3 | Page 21
Using the rules of negation, write the negation of the following:
(~p ∧ q) ∧ (~q ∨ ~r)
~[(~p ∧ q) ∧ (~q ∨ ~r)]
≡ ~(~ p ∧ q) ∨ ~ (~ q ∨ ~r) ...[Negation of conjunction]
≡ [~(~ p) ∨ ~ q] ∨ [~(~q) ∧ ~(~r)] ...[Negation of conjunction and disjunction]
≡ (p ∨ ~q) ∨ (q ∨ r) .....[Negation on negation]
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibY54vUiHMuBizOpVGgWTv2bdAqrxHECgKS8dVkOqaaa_tae6mfHDuKCEho8pKAPT7iqdxnb6VqUqbRjCrzc230xoVJJCiYUe68wNMfddxlgASzBPuPB_20jh97YO0SOHfNWrAu8rDQOs/s16000-rw/brain-2062055_640.jpg)