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        \underline{MTH 331-A} \\
        Homework 6 \\
        \textbf{Due Date}: Monday, January 30, 2023 \\
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Name:  \underline{WRITE-YOUR-NAME-HERE}
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    Show all work and justify all your answers.
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Students are expected to take care in writing their assignments. For instance,
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	\item[$\bullet$] assignments should be written using \LaTeX;
	\item[$\bullet$] assignments should contain clear, complete solutions; and
    \item[$\bullet$] solutions sets which contain multiple pages must be stapled.
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    $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\ $\smile$\
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Write your own proof of the following result.
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\textbf{Result 9}. $Let\ x \in \mathbb{Z}.\ Then\ 11x - 7 \ is \ even \ if \ and\ only\ if\ x\ is\ odd. \\ Proof. $
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