[8_A_1]
Please answer the following question.
Please don't just answer the "True" or "False".
Answer them with detail explanation.
Extracted text: 1. In a world of only objects X, Y and Z, a logical language is defined with constant symbols A, B and C, a function symbol f, and predicate symbols p, q and r. Given the following interpretation I, I (X) =A, I(Y)=A, I (Z) =B I (f)={ (A,B),(B,C),(C,C) } Note. in (i,j), i is an argument, j is a value I (p) = {A,B} I (q) = {C} I (r)={,
,} For each of the following sentences, indicate whether it is true or false in the given interpretation I. а. r (X, Y) Ans: b. q(f (Z)) Ans: c. 3w, f (w) =Y Ans: d. Vw, r (f (w),w) Ans: e. Vu, v, r (u, v)= (Vw, r(u,w)=v=w) Ans: