Answer
a) $R^(-1)$ = {(b,a)| a
Work Step by Step
For the first part, it is asking for the inverse relation. So, since R is a relation from A to B, then the inverse relation is the relation from B to A. It can be denoted as the inverse relation of R : {(b,a) | (a,b) ∈ R} .
For the second part, it is asking for the complementary relation, which is the set of all the ordered pair not in R, which is all pairs that a is not smaller than b or a is equal or greater than b.
