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Let R be the relation on Z defined by 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.

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To find the domain and range of the relation \( R \) defined on \( \mathbb{Z} \) (the set of integers) by \( R = \{(a, b) : a, b \in \mathbb{Z}, a - b \text{ is an integer}\} \), we can analyze the definition of the relation. ### Step-by-Step Solution: 1. **Understanding the Relation**: The relation \( R \) consists of ordered pairs \( (a, b) \) where both \( a \) and \( b \) are integers, and the difference \( a - b \) is also an integer. 2. **Identifying the Domain**: ...
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