Let G be a group with binary operation *· Let G' be the same set as G, and define a binary operation *' on G' by x *' y = y *X for all x, y ∈ G'. 

a. (Intuitive argument that G' under*' is a group.) Suppose the front wall of your class room were made of transparent glass, and that all possible products a * b = c and all possible instances a * (b * c) = (a* b) * c of the associative property for G under * were written on the wall with a magic marker. What would a person see when looking at the other side of the wall from the next room in front of yours? 

b. Show from the mathematical definition of *' that G' is a group under *'.