# hw3ANSWERS - \documentclass[12pt]cfw_article \textwidth =...

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\documentclass[12pt]{article} \textwidth = 6.5 in \textheight = 9 in \oddsidemargin = 0.0 in \evensidemargin = 0.0 in \topmargin = 0.2 in \headheight = 0.0 in \headsep = 0.0 in \parskip = 0.2in \parindent = 0.0in \usepackage{amsmath,amssymb,enumerate} %\def\rmdefault{bch} % Use Charter for main text font. % ========================================================= \begin{document} Neal Whittington (whittin3) Tuesdays, at 4:00PM AD9 \begin{center} {\LARGE \textbf{CS 173: Discrete Structures, Spring 2010} \\ \textbf{Homework 3} \\[1ex]} This homework contains 3 problems worth a total of 40 points. It is due on Friday, 12 February at 4pm. \end{center} \bigskip\hrule \begin{enumerate} %---------------------------------------------------------------------- \item \textbf{[8 points] Thinking about negations} \begin{enumerate} \item $\forall x \in \mathbb{R}, \neg P(x)$ \item $p \in \mathbb{Z} \vee m \in \mathbb{Z} \vee n \in \mathbb{Z} \vee p$ is the GCD of $(m \vee n)$ \end{enumerate} %---------------------------------------------------------------------- \item \textbf{[22 points] } A triple $(a,b,c)$ of positive integers is {\em Pythagorean} if $a^2+b^2=c^2$. Consider the claim: (*) For any Pythagorean triple $(a,b,c)$, if

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## hw3ANSWERS - \documentclass[12pt]cfw_article \textwidth =...

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