The relation R defined on the set of natural | vedclass

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(B) The relation $R$ is defined on the set of natural numbers $N$ as $\{(a, b) : a - b = 3\}$ or $\{(a, b) : b - a = 3\}$.
Given the options,we look

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$\{(4, 1), (5, 2), (6, 3), .....\}$

Vedclass · Answer

(B) The relation $R$ is defined on the set of natural numbers $N$ as $\{(a, b) : a - b = 3\}$ or $\{(a, b) : b - a = 3\}$.
Given the options,we look for pairs where the difference is $3$.
If $b = n$,then $a = n + 3$.
For $n = 1, a = 4 \implies (4, 1)$.
For $n = 2, a = 5 \implies (5, 2)$.
For $n = 3, a = 6 \implies (6, 3)$.
Thus,the relation is $R = \{(4, 1), (5, 2), (6, 3), .....\}$.

The relation $R$ defined on the set of natural numbers as $\{(a, b) : a\}$ differs from $b$ by $\{3\}$,is given by

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