Question: In each case, state whether or not the given set and binary operation form agroup. If so, determine the identity element e. If not, identify

In each case, state whether or not the given set and binary operation form agroup. If so, determine the identity element e. If not, identify a group propertythat fails and explain why

a)The set R R under the operation (x, y) (z, w) = (x + z, y w).

b)The set R (R {0}) under the operation (x, y) (z, w) = (x + z, yw).

c)The power set P(X) a non-empty set X under the operation A B = A B.

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