(D): [6] Let f:R→M be any map. Let r>0, and a,x1,x2,x3∈M. Set A=Bˉ(a,r),S={x1,x2,x3}, and W=f−1(Ac∪Sc). Assuming that f−1(A)=(−∞,3] and f−1(S)=(−∞,0)∪[5,+∞), give W (E): [6] Let g:M→Y be a map and assume that M is a complete metric space. Give additional minimum conditions on g which ensure that g(M) is also complete, in each of the following cases. (a) Ig is a Lipschitz map, (b) g is surjective.