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Problem 34

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. \(C \cup \varnothing\)

Problem 34

Determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(A=\\{x \mid x \in \mathbf{N} \quad\) and \(\quad 3

Problem 35

Determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(\varnothing\) ___ \(\\{7,8,9, \ldots, 100\\}\)

Problem 35

Determine which sets are the empty set. \(\\{x \mid x\) is a woman who served as U.S. president before 2016\\}

Problem 35

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. \(A \cap \varnothing\)

Problem 36

Determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(\varnothing\) ___ \(\\{101,102,103, \ldots, 200\\}\)

Problem 36

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. \(C \cap \varnothing\)

Problem 36

Determine which sets are the empty set. \(\\{x \mid x\) is a living U.S. president born before 1200\(\\}\)

Problem 37

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. \(A \cup U\)

Problem 37

Determine which sets are the empty set. \(\\{x \mid x\) is the number of women who served as U.S. president before 2016\(\\}\)

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