(a) P(x)=(x3==x) with domain Z+. Is 1.5 in the domain of the predicate variable x ? Is 3 in the domain of the predicate variable x ? (b) Let P(x)=(xx==x2) and Q(x)=x0. Consider the following statement P(x)Q(x). Is the converse of this statement true for xZ+? (c) Let P(x)=(x+x==2x) and Q(x)=(x=0). Let the domain of x be the set of all integer imaginary numbers i.e., {i,2i,3i,}. Is the statement Q(x)P(x) valid? (d) Are "pre-baked" arguments always correct? If not, give an example of Modus Tollens that is logically valid, but not a correct argument