Question:
Let the relation $R$ be defined on $\mathbf{N}$ by $a R b$ iff $2 a+3 b=30$. Then write $R$ as a set of ordered pairs.
Solution:
As, $R=\{(a, b): 2 a+3 b=30 ; a, b \in \mathbf{N}\}$
So, $R=\{(3,8),(6,6),(9,4),(12,2)\}$
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