The statement pattern (p q) (r s) is false. Then the truth values of p, q, r and s are respectively

Step-by-step solution

The given statement pattern is (p q) (r s) . An implication A B is false if and only if A is true and B is false. Therefore, (p q) is true and (r s) is false. For (p q) to be true, both p and q must be true. Thus, p = T and q = T . For (r s) to be false, both r and s must be false. Thus, r = F and s = F . Since s = F , s must be true, so s = T . The truth values of p, q, r and s are T, T, F, T respectively. Answer: T, T, F, T