If 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

Given the implication (p q) (r s) is false, recall that an implication A B is false precisely when A is true and B is false. Thus, (p q) must be true, and (r s) must be false. A conjunction is true only when both components are true, so p = T and q = T . A disjunction is false only when both components are false, so r = F and s = F . The negation s being false requires s = T . The truth values p = T , q = T , r = F , and s = T correspond to option D. D