If the truth value of [(p q) (q r) ( r)] (p q) is false, then which of the following is NOT true?

Step-by-step solution

Given that the truth value of [(p q) (q r) ( r)] (p q) is False. An implication A B is False if and only if A is True and B is False. Therefore, the antecedent (p q) (q r) ( r) is True and the consequent p q is False. For the antecedent to be True, each of its conjuncts must be True: 1) r is True r is False. 2) q r is True. Since r is False, q must be False (otherwise T F would be False). 3) p q is True. Since q is False, p must be True. Checking the consequent: p q T F F , which is consistent. Thus, the truth valu