Question attached bellow

(03) Given a universal set U, the characteristic function of a subset A c U is the function XA : U -> {0,1} defined as follows: X A(x ) = 1 xEA x & A For example, if U = {1,2,...,9} and A = {1,5, 7} , then XA (1) = XA (5) = XA(7) =1 and XA ( 2) = X4 (3) = XA ( 4) = XA ( 6) = X4 (8) = X4(9) = 0. Let XA, XB be the characteristic functions of subsets A, B of a universal set U , respectively. Express the following characteristic functions in terms of the functions XA, XB (O is the symmetric difference). No proofs required. In your expressions you may use the functions MIN and MAX ( of a finite set) as well as multiplication and / or additions. For example, the characteristic function for intersection of two sets A, B could be expressed as XAnB(x) = MINIXA(x), XB(x)} or, equivalently as , X AnB (x) = XA(x) . X B (X)}. a) XAUB : b) XA-B: C) XAOB