Let $R$ be a relation from $Q$ to $Q$ defined by $R = \{(a, b) : a, b \in Q \text{ and } a - b \in Z\}$. Show that $(a, b) \in R$ implies that $(b, a) \in R$.
(N/A) Given that $(a, b) \in R$,by the definition of the relation,we have $a - b \in Z$.
Since $Z$ is the set of integers,if $x \in Z$,then $-x \in Z$.
Therefore,$-(a - b) = b - a \in Z$.
Since $b - a \in Z$,by the definition of the relation,we have $(b, a) \in R$.
Since $Z$ is the set of integers,if $x \in Z$,then $-x \in Z$.
Therefore,$-(a - b) = b - a \in Z$.
Since $b - a \in Z$,by the definition of the relation,we have $(b, a) \in R$.
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