If p (q r) is false, then the truth values of (p q) r and p q are :

Step-by-step solution

Given p (q r) is false. An implication A B is false if and only if A is true and B is false. Thus, p is T and q r is F . For a disjunction q r to be false, both components must be false. Therefore, q is F and r is F , which means r is T . We have the truth values: p = T , q = F , r = T . Evaluating the first expression (p q) r : (T F) T F T F Evaluating the second expression p q : T F F T T The truth values are F and T .