Let A = {1, 2, 3, 4, ..., 10} and B = {0, 1, 2, 3, 4}. The number of elements in the relation R = {(a, b) ∈ A × A : 2(a – b)2 + 3(a – b) ∈ B} is:

If R = {(1, 2), (2, 3), (3, 4)} is a relation from set A = {1, 2, 3} to set B = {2, 3, 4, 5}, then what are the domain and codomain of R?

If f(x) = √x and g(x) = 1x2, then find the domain of (f + g)(x).

A relation R = {(a, b) : a, b ∈ ℤ and a2 + 3b2 ≤ 10} is defined on the set of integers ℤ. Find the range set of relation R.