Consider the following definitions: 0 L(x, y) = "x eats lunch with y" C(x, y) = "x has a class with y" R(x, y) = x is roommates with y where the domain for x and y is all students at the University of Michigan. Note that L(x,y), C(x,y), and R(x,y) are all symmetric, meaning that L(x, y) is equivalent to L(y,x) and vice . versa. Translate the following expressions of quantifiers, logical connectives, and predicates into English in the clearest way possible. (a) ViVy[(C(x, y) A R(x, y)) L(x,y)] (b) 3xVy [((x + y) ^C(x, y)) -(x, y)] (c) Vug [(x + y) A (C(2, 3) V R(I, J)) A-L(T, 9)]