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Magazine Problem 63
Calculate the number of distinct subsets and the number of distinct proper subsets for each set. \(\\{2,4,6,8,10,12\\}\)
Problem 63
In Exercises 41-66, 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. \(A \cap U\)
Problem 63
Determine whether each statement is true or false. \(\\{3\\} \in\\{3,4\\}\)
Problem 64
In Exercises 41-66, 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. \(B \cap U\)
Problem 64
Calculate the number of distinct subsets and the number of distinct proper subsets for each set. \(\\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}\\}\)
Problem 64
Determine whether each statement is true or false. \(\\{7\\} \in\\{7,8\\}\)
Problem 65
Calculate the number of distinct subsets and the number of distinct proper subsets for each set. \(\\{x \mid x\) is a day of the week \(\\}\)
Problem 65
Determine whether each statement is true or false. \(-1 \notin \mathbf{N}\)
Problem 66
Determine whether each statement is true or false. \(-2 \notin \mathbf{N}\)
Problem 66
Calculate the number of distinct subsets and the number of distinct proper subsets for each set. \(\\{x \mid x\) is a U.S. coin worth less than a dollar \(\\}\)
