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Magazine Problem 11
In Exercises 7-14, write a word description of each set. (More than one correct description may be possible.) \(\\{6,7,8,9, \ldots\\}\)
Problem 11
In Exercises \(1-18\), write \(\subseteq\) or \(\nsubseteq\) in each blank so that the resulting statement is true. \(\left\\{\frac{4}{7}, \frac{9}{13}\right\\}\) \(\left\\{\frac{7}{4}, \frac{13}{9}\right\\}\)
Problem 11
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. \((A \cup B)^{\prime} \cap C\)
Problem 12
In Exercises 7-14, write a word description of each set. (More than one correct description may be possible.) \(\\{9,10,11,12, \ldots\\}\)
Problem 12
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. \((B \cup C)^{\prime} \cap A\)
Problem 13
In Exercises 13-24, let $$ \begin{aligned} U &=\\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\\} \\\ A &=\\{\mathrm{a}, \mathrm{g}, \mathrm{h}\\} \\\B &=\\{\mathrm{b}, \mathrm{g}, \mathrm{h}\\} \\ C &=\\{\mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}\\} \end{aligned} $$ Find each of the following sets. \(A \cup(B \cap C)\)
Problem 13
In Exercises 7-14, write a word description of each set. (More than one correct description may be possible.) \(\\{6,7,8,9, \ldots, 20\\}\)
Problem 14
In Exercises 13-24, let $$ \begin{aligned} U &=\\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\\} \\\ A &=\\{\mathrm{a}, \mathrm{g}, \mathrm{h}\\} \\\B &=\\{\mathrm{b}, \mathrm{g}, \mathrm{h}\\} \\ C &=\\{\mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}\\} \end{aligned} $$ Find each of the following sets. \(A \cap(B \cup C)\)
Problem 14
In Exercises 7-14, write a word description of each set. (More than one correct description may be possible.) \(\\{9,10,11,12, \ldots, 25\\}\)
Problem 15
In Exercises 13-24, let $$ \begin{aligned} U &=\\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\\} \\\ A &=\\{\mathrm{a}, \mathrm{g}, \mathrm{h}\\} \\\B &=\\{\mathrm{b}, \mathrm{g}, \mathrm{h}\\} \\ C &=\\{\mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}\\} \end{aligned} $$ Find each of the following sets. \((A \cup B) \cap(A \cup C)\)
