Discrete Math Suppose that the following relation is defined

Discrete Math

Suppose that the following relation is defined on the set A = {1, 2, 3}. R = {(1, 2), (2, 2), (2, 3), (3, 2), (3, 3)} Determine which of these ordered pairs should be added so that R becomes reflexive. (Check ALL correct answers from the following lists): (1, 1) (2, 1) none of these, R is already reflexive (1, 3) and (3, 1) Determine which of these ordered pairs should be added so that R becomes symmetric. (Check ALL correct answers from the following lists): (1, 1) none of these, R is already symmetric (1, 3) and (3, 1) (2, 1) Determine which of these ordered pairs should be added so that R becomes transitive. (Check ALL correct answers from the following lists): (1, 3) and (3, 1) (1, 1) none of these, R is already transitive (2, 1) (1, 3)

Solution

(a) (1,1)

(b) (2,1)

(c) (1,3)