If a statement q has truth value False and (p q) r has truth value True then which of the following has truth value true?

Step-by-step solution

Given q F and (p q) r T , we determine the truth values of relevant expressions. The conjunction p q F since q is false. Given the biconditional F r T , it follows that r F as both sides must match. Evaluating the options: A: p q F B: p r p F p (truth value depends on p ) C: p r p F F D: (p r) (p r) F p T since a false antecedent implies any consequent. Only option D evaluates to true under all conditions.