The negation of the statement ~q∧(~p∨~r) is:

Question

~q∧(~p∨~r)

 

Whats ts the negation of this statement? 

Answer 1

First, use the fact that negation of an AND is the OR of the negations.

 

∼∼q ∨  ∼( ∼p  ∨ ∼r)

 

q ∨ ∼ ( ∼p ∨ ∼r)

Next use negation of an OR is the AND of the negations

 

q ∨ ( ∼∼p ∧∼∼r)

q ∨ ( p ∧ R)