Let R be a relation from a set A to a set B.?

Question

The complementary relation S is the set of ordered pairs {(a.b) | (a,b) not € R}. Let R be the relation R = {(a,b) | a < b} on the set of integers. Find R^1 and S.

Answer 1

The inverse of a relation {(a, b): φ} is {(b, a): φ}. Thus in this case if R = {(a, b): a
R⁻¹ = {(b, a): ab}
S = {(a, b): ¬(a