Referring to Exercise 32, give an example of a subset S of R² such that V(I(S)) ≠ S.

Data from Exercise 32

Let F be a field. Show that if S is a nonempty subset of Fⁿ, then I(S) = {f(x) ∈ F[x]|f(s) = 0 for all s ∈ S} is an ideal of F[x].