b. Write a description of the set below in plain English, where P is the set of US Presidents, N(x) is the number of the President the first time they took office, and A(x) is the age of the President the first time they took office C. {xe Pvy E P(N(y) < N(x) A(y) < A(x))} Convert this plain English description of the set into set builder notation, defining whichever functions are necessary (N(x) from above will not work since a President can be replaced and then return later with a different number). "The set of all Presidents whose party affiliation is the same as the (different) President immediately preceding them in office".