Let R be the relation in the set N given by R | vedclass

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Question

(C) The relation is defined as $R = \{(a, b) : a = b - 2, b > 6\}$.
Given $b > 6$,let us test the options.
For option $(A)$,$(8, 6)$: Here $b

Vedclass · Accepted Answer

$(6, 8) \in R$

Vedclass · Answer

(C) The relation is defined as $R = \{(a, b) : a = b - 2, b > 6\}$.
Given $b > 6$,let us test the options.
For option $(A)$,$(8, 6)$: Here $b = 6$,which does not satisfy $b > 6$.
For option $(B)$,$(3, 8)$: Here $a = 3$ and $b = 8$. Checking the condition $a = b - 2$,we get $3 = 8 - 2 = 6$,which is false.
For option $(C)$,$(6, 8)$: Here $a = 6$ and $b = 8$. Checking the condition $a = b - 2$,we get $6 = 8 - 2 = 6$,which is true. Also,$b = 8 > 6$ is satisfied.
For option $(D)$,$(8, 7)$: Here $a = 8$ and $b = 7$. Checking the condition $a = b - 2$,we get $8 = 7 - 2 = 5$,which is false.
Therefore,$(6, 8) \in R$ is the correct answer.

Let $R$ be the relation in the set $N$ given by $R = \{(a, b) : a = b - 2, b > 6\}$ then which of the following is correct?

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