I need answers to all parts of Q 4. and answer to 1e for part 2. Please show all steps.Thanks!

(10 pt., 2.5 pt. each) Let A-.P(O), B-.P({a, b), and C=.P((a, c) where PLS) is the power set of S. Find 4" a. A, B, and C d. (B - C) n A Part ll: Relations (50 pt.) 1. (50 pt., 10 pt. each) For each of the following relations, determine whether the relation is . Reflexive . Anti-reflexive Symmetric Anti-symmetric. . Transitive Justify your answers a. R is a relation on the set { 1, 2, 3, 4} such that R = {(1, 1), (13), (2,2), (3, 1), (3, 3), (4,4). b. R is a relation on the set of all people such that (a, b) E R if and only if a and b have a common grandparent. R is a relation on the power set of a set A such that (x,y) ER if and only if x c y R is a relation on Z such that (x,y) E R if and only if y. R is a relation on Z+ such that (x,y) E R if and only if y is divisible by Hint: An integer y is divisible by an integer x with c. d. e. 0 if and only if there exists an integer k such that y = xk