Discrete Math:

Problem 3. [25 points] a. [5 points] List all of the ordered pairs in the relation R = {(a, b) la + b is even) on the set {1, 2, 3, 4,5} b. [10 points] For each of the following relations on the set of all people, determine if the set is necessarily reflexive, symmetric, antisymmetric, and/or transitive 1) [5 points] R, = {(a, b) |There is a book that both a and b have read} 2) [5 points] R2 = {(a, b) |a has a higher gpa than b} c. [10 points] For each of the following relations on the set of real numbers, determine if the set is reflexive, symmetric, antisymmetric, and/or transitive 1) [5 points] R3 = {(x, y)|x - y = 0} 2) [5 points] R. = ((x,y)|x