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Problem 15

In Exercises 15-32, express each set using the roster method. The set of the four seasons in a year

Problem 16

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. \((A \cap B) \cup(A \cap C)\)

Problem 16

In Exercises 15-32, express each set using the roster method. The set of months of the year that have exactly 30 days

Problem 17

In Exercises 15-32, express each set using the roster method. \(\\{x \mid x\) is a month that ends with the letters b-e-r \(\\}\)

Problem 17

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. \(A^{\prime} \cap\left(B \cup C^{\prime}\right)\)

Problem 18

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. \(C^{\prime} \cap\left(A \cup B^{\prime}\right)\)

Problem 18

In Exercises 15-32, express each set using the roster method. \(\\{x \mid x\) is a lowercase letter of the alphabet that follows \(\mathrm{d}\) and comes before j\\}

Problem 19

In Exercises 15-32, express each set using the roster method. The set of natural numbers less than 4

Problem 19

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. \(\left(A^{\prime} \cap B\right) \cup\left(A^{\prime} \cap C^{\prime}\right)\)

Problem 19

In Exercises \(19-40\), determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(\\{\mathrm{V}, \mathrm{C}, \mathrm{R}\\}\) \(\\{\mathrm{V}, \mathrm{C}, \mathrm{R}, \mathrm{S}\\}\)

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