Problem 2. This problem is about composing relations and inverse of a relation. Definition 1. Suppose R: A B and S: B C (note the domains and co-domains on which these relations are defined). Then we can construct a new relation SoR, called the composition relation from A-C as follows: (a, c) ESOR Em EB such that (a,m) R and (m, c) ES. Let R: R R be the relation defined by R = {(x,y)]y = 7x-10} and 9: R R be a relation defined by S = {(x,y)|y=5x+2}. 1. Find RoS, S OR and ROR. Your answers must be in the form RoS = {(x,y) | appropriate conditions}. 2. Suppose X:A-B, we define the inverse relation X-:BA as follows: K = {(b,a)|(a,b) K}. In other words, we say b is related to a via K- if a is related to b via K. Using this definition and the relations R and S given at the beginning of this problem, find the following relations: