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Magazine Problem 1
In Exercises 1-12, let $$ \begin{aligned} U &=\\{1,2,3,4,5,6,7\\} \\ A &=\\{1,3,5,7\\} \\ B &=\\{1,2,3\\} \\ C &=\\{2,3,4,5,6\\} . \end{aligned} $$ Find each of the following sets. \(A \cup(B \cap C)\)
Problem 1
In Exercises \(1-18\), write \(\subseteq\) or \(\nsubseteq\) in each blank so that the resulting statement is true. \(\\{1,2,5\\}\) \(\\{1,2,3,4,5,6,7\\}\)
Problem 1
In Exercises \(1-4\), describe a universal set \(U\) that includes all elements in the given sets. Answers may vary. \(A=\\{\) Bach, Mozart, Beethoven \(\\}\) \(B=\\{\) Brahms, Schubert \(\\}\)
Problem 1
In Exercises 1-6, determine which collections are not well defined and therefore not sets. The collection of U.S. presidents
Problem 2
In Exercises 1-6, determine which collections are not well defined and therefore not sets. The collection of part-time and full-time students currently enrolled at your college
Problem 2
In Exercises \(1-18\), write \(\subseteq\) or \(\nsubseteq\) in each blank so that the resulting statement is true. \(\\{2,3,7\\}\) \(\\{1,2,3,4,5,6,7\\}\)
Problem 2
In Exercises \(1-4\), describe a universal set \(U\) that includes all elements in the given sets. Answers may vary. \(A=\) \\{William Shakespeare, Charles Dickens \(\\}\) \(B=\\{\) Mark Twain, Robert Louis Stevenson \(\\}\)
Problem 2
In Exercises 1-12, let $$ \begin{aligned} U &=\\{1,2,3,4,5,6,7\\} \\ A &=\\{1,3,5,7\\} \\ B &=\\{1,2,3\\} \\ C &=\\{2,3,4,5,6\\} . \end{aligned} $$ Find each of the following sets. \(A \cap(B \cup C)\)
Problem 3
In Exercises 1-12, let $$ \begin{aligned} U &=\\{1,2,3,4,5,6,7\\} \\ A &=\\{1,3,5,7\\} \\ B &=\\{1,2,3\\} \\ C &=\\{2,3,4,5,6\\} . \end{aligned} $$ Find each of the following sets. \((A \cup B) \cap(A \cup C)\)
Problem 3
In Exercises \(1-4\), describe a universal set \(U\) that includes all elements in the given sets. Answers may vary. \(A=\\{\) Pepsi, Sprite \(\\}\) \(B=\\{\) Coca-Cola, Seven-Up \(\\}\)
