91Ó°ÊÓ

Determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(\\{x \mid x\) is a woman or a man \(\\}\) ____ \(\\{x \mid x\) is a person \(\\}\)

Express each set using the roster method. \(\\{x \mid x \in \mathbf{N} \quad\) and \(\quad 7

Express each set using the roster method. \(\\{x \mid x \in \mathbf{N} \quad\) and \(\quad 10 \leq x<80\\}\)

In Exercises 29-32, use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossible to meet. \(n(U)=38, n(A)=26, n(B)=21, n(C)=18\) \(n(A \cap B)=17, n(A \cap C)=11, n(B \cap C)=8\) \(n(A \cap B \cap C)=7\)

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. \(A^{\prime} \cup C^{\prime}\)

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} \text { and } 5

Express each set using the roster method. \(\\{x \mid x \in \mathbf{N} \quad\) and \(\quad 15 \leq x<60\\}\)

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. \(A^{\prime} \cup B^{\prime}\)

Use the Venn diagram and the given conditions to determine the number of elements in each region, or explain why the conditions are impossible to meet. \(n(U)=42, n(A)=26, n(B)=22, n(C)=25\) \(n(A \cap B)=17, n(A \cap C)=11, n(B \cap C)=9\) \(n(A \cap B \cap C)=5\)

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} \text { and } 3