Question:
Let $R$ be the relation on $Z$ defined by $R=\{(a, b): a, b \in Z, a-b$ is an integer\} $\}$ Find the domain and range of $R$.
Solution:
$\mathrm{R}=\{(a, b): a, b \in \mathbf{Z}, a-b$ is an integer $\}$
It is known that the difference between any two integers is always an integer.
$\therefore$ Domain of $R=Z$
Range of $R=Z$
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