Discrete Mathmatics please solve it all

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B. a) the set of sophomores taking discrete mathematics in b) the set of sophomores at your school who are not tak- c) the set ofstudents at your school who either are sopho- d) the set of students at your school who either are not your school ing discrete mathematics mores or are taking discrete mathematics sophomores or are not taking discrete mathematics Let A and B be sets. Show that a) (AnB) C A. c) A - B C A. e) Au(B-A)=AUB. b) A C(A U B). d) An(B-A) = . 26. raw the Venn diagrams for each of these combinations of the sets A, B, and C. a) An (BUC) c) (A - B) U (A - C)U(B - C) b) AnBnC