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Magazine Problem 1
In Exercises 1-4, describe a universal set U that includes all elements in the given sets. Answers may vary. $$ A=\\{\text { Bach, Mozart, Beethoven }\\} $$ \(B=\\{\) Brahms, Schubert \(\\}\)
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 1-6, determine which collections are not well defined and therefore not sets. The collection of U.S. presidents
Problem 2
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 1-12, 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 2
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 3
Write \(\subseteq\) or \(\nsubseteq\) in each blank so that the resulting statement is true. \(\\{-3,0,3\\}\) ____ \(\\{-3,-1,1,3\\}\)
Problem 3
Describe a universal set U that includes all elements in the given sets. Answers may vary. \(\begin{aligned} A &=\\{\text { Pepsi, Sprite }\\} \\ B &=\\{\text { Coca- Cola, Seven-Up }\\} \end{aligned}\)
Problem 3
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. \((A \cup B) \cap(A \cup C)\)
