If (p q) (p r) p q has truth value false then truth values of the statements p, q, r are respectively

Step-by-step solution

Given: ( (p q) (p r) ( p q) ) is false. An implication (A B ) is false only when (A= True , B= False . ) 1. Make antecedent true: ((p q) (p r)= True ) This requires simultaneously: - (p= ) True - ( q= ) True ( q= ) False - (r= ) True So antecedent is True when (p= T , q= F , r= T ). 2. Make consequent false: ( p q= False ) A disjunction is false only when both parts are false: - ( q = ) False ( p= ) True - (q= ) False This matches the values above. (p= T , q= F , r= T )