(8 points) Consider a collection of books in the library. The universal set U refers to all books in the library. In addition, books are classified by their subject (ench book may receive more than one classification) into the following sets: F- fiction, B- biography, H- historical, P- poetry, N - non-fiction, S- scientific, E - English, O other language, L - literary, T- travel, R reference. Each set is a subset of U Express each of the following statements using set expressions, eg, set operators (U, n, , A, etc), relations (,C, C), ete.: (a) The set of scientific references. (b) No book is both fiction and non-fiction. (c) A scientific book is not literary (d) The set of historical fiction books excluding those in other languages. (e) Any biography is also a historical book. Page 2 of 4 S2311-Spring 2019 HW 2 Due: Fri. 02/01/1 (f) All books are either reference, literary, or poetry (g) All travel books are reference books. (h) All poetry in other languages are literary works