If the truth value of the compound statement [(p q) (q r) ( r)] (p q) is False then the truth values of p q and q p are respectively......

Step-by-step solution

The compound statement X Y is False if and only if X is True and Y is False. Here, X = (p q) (q r) ( r) and Y = p q . Since X is True, each of its components must be True: 1) r is True r is False. 2) q r is True. Since r is False, q must be False. 3) p q is True. Since q is False, p must be True. Checking Y : p q = T F = F , which satisfies the condition that Y is False. Thus, p = T and q = F . Now, we evaluate p q and q p : p q = T F = F q p = F T = T The truth values are (F, T) . Answer: (F, T)