If p ⇒ q ∨ r is F a l s e , then the truth values of p , q , r are respectively, (where T is T r u e and F is F a l s e )

Step-by-step solution

We know that the conditional statement a ⇒ b is F a l s e only when a is F a l s e and b is T r u e . Hence, p ⇒ ( q ∨ r ) :   F a l s e when p : T r u e ;     q ∨ r   :   F a l s e Again, we know that a ∨ b is F a l s e when both a   &   b are false. Hence, p : T r u e ;   q : F a l s e ;   r :   F a l s e .