6. (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 (each 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, e.g., set operators (,,,A, etc. ), relations (=,,), etc: (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. (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