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\activitytitle{Quiz on some problems from Chapter 5 of Daepp and Gorkin}{15 points}
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\item Let $x$ and $y$ be real numbers. Use the triangle inequality to show that $||x| - |y|| \leq |x - y|$.
\item Prove or refute the following conjecture: There are no positive integers $x$ and $y$ such that $x^2 - y^2 = 10$. You can use the back of the sheet if you like.
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