EDB — 17P

[17P]Find an example of open convex sets \(A,B⊂ℝ^ 2\) with \(\overline A,\overline B\) disjoint, and such that there is a single hyperplane separating them (i.e. an ”unique” choice of \(v,c\) that satisfies [(14.19)]↺↻; ”unique”, up to multiplying \(v,c\) by the same positive constant).