Let R be the relation on Z defined by R= (a, b): a, b ∈ Z, a-b is an integer . Then

Question

Let R be the relation on Z defined by R= (a, b): a, b ∈ Z, a-b is an integer . Then (A) domain of R is 2,3,4,5, ldots  (B) range of R is Z (C) Both (a) and (b) (D) None of the above

Tardigrade Admin · Accepted Answer

The difference of two integers is also an integer. ∴ Domain of R=Z Range of R=Z

Q. Let $R$ be the relation on $Z$ defined by $R = {(a, b) : a, b \in Z, a - b$ is an integer $}$ . Then

domain of $R$ is ${2, 3, 4, 5, \dots}$

range of $R$ is $Z$

Both (a) and (b)

None of the above

The difference of two integers is also an integer.
$∴$ Domain of $R = Z$
Range of $R = Z$

Q. Let R be the relation on Z defined by R={(a,b):a,b∈Z,a−b is an integer }. Then

domain of R is {2,3,4,5,…}

range of R is Z