Determine whether the two statements 3x(P(x) —> Q(x)) and 3xP(x) 3rQ(x) are equivalent. Explain.
Mathematics Problem 3. (12 points) (a) Distribute the quantifiers for the statement 3x (P(x)V -.Q(x)) so that all the quantifiers occur immediately before the predicates or the negation symbol. If distribution is not possible, briefly explain why. (b) Determine whether the two statements 3x(P(x) —> Q(x)) and 3xP(x) 3rQ(x) are equivalent. Explain. Problem 4. (10 […]