The statements p, q and r have truth values True, False and False respectively. The truth values of a logical statement [ (p q) (q r)] and its dual are, respectively.....

Step-by-step solution

Given p = T , q = F , r = F . The logical statement is S = [ (p q) (q r)] . Substituting the truth values: p q = T F = T T = T (p q) = T = F q r = F F = F T = T Therefore, S = F T = T . The dual of the statement S is obtained by replacing with and with . The dual statement is S^* = [ (p q) (q r)] . Substituting the truth values: p q = T F = T T = T (p q) = T = F q r = F F = F T = F Therefore, S^* = F F = F . The truth values of the statement and its dual are True and False respectively. Answer: True, False