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 $R .$
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 $R .$
$R = \{ (a,b):a,b \in Z,a - b$ 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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