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Problem 28

In Exercises \(19-40\), 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 \(\\} \longrightarrow\\{x \mid x\) is a person \(\\}\)

Problem 29

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. \begin{aligned} &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 \end{aligned}

Problem 29

In Exercises 15-32, express each set using the roster method. \(\\{x \mid x \in \mathbf{N}\) and \(10 \leq x<80\\}\)

Problem 30

In Exercises 15-32, express each set using the roster method. \(\\{x \mid x \in \mathbf{N}\) and \(15 \leq x<60\\}\)

Problem 30

In Exercises \(19-40\), determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(B=\) the set of natural numbers between 5 and 12 \(A\) \(B\) \(A=\\{x \mid x \in \mathbf{N}\) and \(3

Problem 31

In Exercises 15-32, express each set using the roster method. \(\\{x \mid x+5=7\\}\)

Problem 31

In Exercises \(19-40\), determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(B=\) the set of natural numbers between 5 and 12 \(A\) \(B\) \(A=\\{x \mid x \in \mathbf{N}\) and \(5

Problem 32

In Exercises 15-32, express each set using the roster method. \(\\{x \mid x+3=9\\}\)

Problem 32

In Exercises \(19-40\), determine whether \(\subseteq, \subset\), both, or neither can be placed in each blank to form a true statement. \(B=\) the set of natural numbers between 5 and 12 \(A\) \(B\) \(A=\\{x \mid x \in \mathbf{N}\) and \(3

Problem 33

Find each of the following sets. \(A \cup \varnothing\)

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