In the set of natural numbers, let \( R \) be the relation defined as \( a R b \) if and only if...

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In the set of natural numbers, let \( R \) be the relation defined as \( a R b \) if and only if \( a, b \in \mathbf{N} \) and \( a+2 b=11 \). Write \( R \) as the set of ordered pairs. Find the domain of \( R \) and the range of \( R \).
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