Question

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

correct value of a and b.​

Answer 1

Answer:

Firstly b should be greater than 6 & also difference between b& a should be 2 , option C is satisfing both the conditions hence the correct answer is C

Explanation:

(a,b)∈R⇒a−b∈Z

(b,c)∈R⇒b−c∈Z

⇒(a−c)=(a−b)+(b−c) being sum of two integers is also a integer

⇒(a−c)∈z⇒(a,c)∈R.

A = (a, b, c, d), B= (p, q, r, s).

mohit there is optional question in the book but you have only given questions without option so the right answer is c option check in book okay

Answer 2

Answer:

Explanation:

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