Let $R$ be the relation in the set $N$ given by $R = {(a, b) : a = b - 2, b > 6}$ . Choose the correct answer.

(2, 4) \in R

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(3, 8) \in R

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(6, 8) \in R

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(8, 7) \in R

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Solution

The correct option is C $(6, 8) \in R$
$R = {(a, b) : a = b - 2, b > 6}$
Now, since $b > 6, (2, 4) \notin R$
Also, as $3 \neq 8 - 2, (3, 8) \notin R$
And, as $8 \neq 7 - 2$
$∴ (8, 7) \notin R$
Now, consider $(6, 8)$ .
We have $8 > 6$ and also, $6 = 8 - 2$ .
$∴ (6, 8) \in R$
Hence the correct answer is C.

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Similar questions

Q. Let R be a relation on the set N given by
R = {(a, b) : a = b − 2, b > 6}. Then,
(a) (2, 4) ∈ R
(b) (3, 8) ∈ R
(c) (6, 8) ∈ R
(d) (8, 7) ∈ R

Q. Let R be the relation in the set N given by R = {( a , b ): a = b − 2, b > 6}. Choose the correct answer. (A) (2, 4) ∈ R (B) (3, 8) ∈R (C) (6, 8) ∈R (D) (8, 7) ∈ R

Let R be the relation in the set N given by R = {(a, b): a = b − 2, b > 6}. Choose the correct answer.

(A) (2, 4) ∈ R (B) (3, 8) ∈R (C) (6, 8) ∈R (D) (8, 7) ∈ R

Let R be the relation in the set N given by R = {(a, b): a = b - 2, b > 6}. Choose the correct answer.
$(A) (2, 4) \in R (B) (3, 8) \in R (C) (6, 8) \in R (D) (8, 7) \in R$

Q. Let R be the relation in the set N given by

= {(a, b) : a = b - 2, b > 6}

. Choose the correct answer.

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Let R be the relation in the set N given by R={(a,b):a=b−2,b>6}. Choose the correct answer.

The correct option is C (6,8)∈RR={(a,b):a=b−2,b>6}Now, since b>6,(2,4)∉RAlso, as 3≠8−2,(3,8)∉RAnd, as 8≠7−2∴(8,7)∉RNow, consider (6,8).We have 8>6 and also, 6=8−2.∴(6,8)∈RHence the correct answer is C.

Let $R$ be the relation in the set $N$ given by $R = {(a, b) : a = b - 2, b > 6}$ . Choose the correct answer.