Determine the domain and range of the relation `R` defined by: `R={(a , b): b=|a-1|,\ a in Z\ a n d\ |a|lt=3}`

Explanation

To determine the domain and range of the relation \( R \) defined by \( R = \{(a, b) : b = |a - 1|, \ a \in \mathbb{Z} \text{ and } |a| \leq 3\} \), we will follow these steps:

### Step 1: Identify the possible values of \( a \)
Given the condition \( |a| \leq 3 \), the possible integer values for \( a \) are:
\[ a = -3, -2, -1, 0, 1, 2, 3 \]

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