1. Tardigrade
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  3. Mathematics
  4. Let R be the relation on Z defined by R= (a, b): a, b ∈ Z, a-b is an integer . Then

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Q. Let $R$ be the relation on $Z$ defined by $R=\{(a, b): a, b \in Z, a-b$ is an integer $\}$. Then

Relations and Functions

Solution:

The difference of two integers is also an integer.
$\therefore$ Domain of $R=Z$
Range of $R=Z$