Which of the following candidates are binary or unary operations on the given sets? For those that are not, where do they fail? a. x# = x2 ; S = b. e x 1 if x is odd x if x is even + 1 2 3 1 1 2 3 2 2 3 4 3 3 4 5 S = {1, 2, 3} c. x + y = that fraction, x or y, with the smaller denominator; S = set of all fractions. d. x + y = that person, x or y, whose name appears first in an alphabetical sort; S = set of 10 people with different names.