The truth table represents statements p, q, and r. p q r q ∧ r A T T T T B T T F F C T F T F D T F F F E F T T T F F T F F G F F T F H F F F F If p is false, which row represents when p ∨ (q ∧ r) is true?

Solution:q ∧ r : q and rq      r        q∧rT      T         TT       F          FF       T          FF        F          Fp ∨ (q∧r)p OR (q AND r)p          q∧r          p∨(q∧r)F           T∧  T=T      TF            F∧T = F      FF             T ∧ F=F      FF             F ∧ F =F      FIf P is false , The row which represents  when p ∨ (q ∧ r) is true is →→F T T TWhich is Option E.