Question

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

Answer 1

It is given that the relation in the set N given by R = {(a, b): a = b – 2, b > 6}
lets check all options :
(a) (2,4)
now, b > 6, (2, 4) ∉ R
so, option (a) is wrong.

(a) (3,8)
as 3 ≠ 8 – 2, (3, 8) ∉ R
so, option (b) is wrong.

(c) (6,8)
a = b- 2 ,
also 6 = 8 - 2 , (6, 8) ∈ R
so , option (c) is correct.

(d) it is also wrong because 8 ≠ 7 - 2 , (8,7)∉ R