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Exercise 2.8 (Solutions)

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$G=\{0,1\}$ is shown in the adjoining table. \[ \begin{array}{|c|c|c|} \hline \oplus & 0 & 1 \\ \h... able, show that the set is an Abelian group? \[ \begin{array}{|c|c|c|c|c|} \hline \oplus & 0 & 1 &... Closure property holds in $\mathbb{Q}$ under $+$ because sum of two rational number is also rational.... is set? Show that this set is Abelian group. \[ \begin{array}{|c|c|c|} \hline \oplus & E & O \\ \