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\Huge{Reading Quiz \S2}
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Section 2 of Saracino's Abstract Algebra book gives the following definition:

Suppose that:
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\item $G$ is a set and $\star$ is a binary operation on $G$,
\item $\star$ is associative,
\item there is an element $e$ in $G$ such that $x\star e =e\star x=x$ for all $x$ in $G$, and
\item for each element $x\in G$, there is an element $y\in G$ such that $x\star y=y\star x=e$.
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\begin{enumerate}

\item $[1]$ Provide an example set and binary operator that forms a group.  
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\item $[1]$ Identify the identity $e$ in the example group you provided above in problem 1.
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\item $[1]$ What property makes a group abelian?
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\item $[2]$ In the additive group of integers $\mathbb{Z}_{16}$ find:
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\item 15+2
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\item 15+18
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