# hw_00 - \def\solutionModecfw_TRUE \ifx\bookMode\undefined

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\def\solutionMode{TRUE} \ifx\bookMode\undefined \documentclass[12pt]{article} \usepackage{373} \fi \BeginDocument \HWNum{Spring 2010}{0}{Thursday Jan 28, 2:00pm, in class \emph{before} the lecture.} \Title{Problem Set 0} \MakeTitleHW %\hline Please \underline{follow} the homework format guidelines posted on the class web page: \centerline{\url{\CourseWebpage}} %\hline \bigskip \begin{enumerate} \item \ProblemTtl{}{Notation}{20} Answer each of the following my marking each with \textbf{true}'', \textbf{false}'', or \textbf{wrong notation}.'' Follow \underline{the notations in Sipser}. $\ {\dots\}$ is used to represent sets and not multisets or anything else. \begin{enumerate}[D1)] \item $\{a,b,c\}\cap\{d,e\} = \{\}$ \item $\{a,b,c\}\cap\{d,e\} = \{\varnothing\}$ \item $\{a,b,c\}\cup\{d,a,e\} = \{a,b,c,d,a,e\}$ \item $\{a,b,c\}\cup\{d,a,e\} = \{a,b,c,d,e\}$ \item $\{a, b, c\} \setminus \{a, d\} = \{b, c\}$ \item $\varnothing \in \{\varnothing, a, b, c\}$ \item $\varnothing \subseteq \{\varnothing, a, b, c\}$ \item $\varnothing \in \varnothing$ \item $a \subseteq \{\varnothing, a, b, c\}$ \item $\{a, c\} + \{c, b\} = \{a, b, c\}$ \item $\{a, b\} - \{b\} = \{a\}$ \item $\{a,a\}=\{a\}$ \item $\{\{a\},\{a\}\}=\{a,a\}$ \item $a \in \{a,\{a\},\{\{a\}\}\}$ \item $\{a\} \in \{a,\{a\},\{\{a\}\}\}$

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## hw_00 - \def\solutionModecfw_TRUE \ifx\bookMode\undefined

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