Problem 1E Problem 2E: Suppose that A is the set of sophomores at your school and B is the set of students in discrete... Problem 3E: Let A={1,2,3,4,5} and B={0,3,6} . Find AB . AB . AB . BA . Problem 4E: Let A={a,b,c,d,e} and B={a,b,c,d,e,f,g,h} . Find AB . AB . AB . BA . Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E: TABLE 1 Set Identities. Identity Name AU=AA=A Identity laws AU=UA= Domination laws AA=AAA=A... Problem 14E Problem 15E Problem 16E Problem 17E: Show that if A and B are sets in a universe U then AB if and only if AB=U . Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E: Let A, B, and C be sets. Show that (AB)C=(AC)(BC) . Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E: Let A and B be subsets of a universal set U. Show that AB if and only if BA . Problem 34E: Let A, B, and C be sets. Use the identity AB=AB , which holds for any sets A and B, and the... Problem 35E Problem 36E Problem 37E: Prove or disprove that for all sets A, B, and C, we have A(BC)=(AB)(AC) . A(BC)=A(BC) . Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 44E Problem 45E Problem 46E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 52E Problem 53E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 54E Problem 55E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 56E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 57E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 58E Problem 59E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 60E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 61E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 62E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 63E: The symmetric difference of A and B, denoted by AB , is the set containing those elements in either... Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E: The successor of the set A is the set A{A} . Suppose that A is the multiset that has as its elements... Problem 71E: The Jaccard similarity J(A,B) of the finite sets A and B is J(A,B)=|AB|/|AB| , with J(,)=1 . The... Problem 72E Problem 73E Problem 74E Problem 75E format_list_bulleted