Find the inverse (as a set of ordered pairs) of each relation in Exercises 1–16.Exercise 1...

Find the inverse (as a set of ordered pairs) of each relation in Exercises 1–16.

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

R = {(a, 6), (b, 2), (a, 1), (c, 1)}

Exercise 6

R = {(Roger, Music), (Pat, History), (Ben, Math), (Pal, PoJySci)}

Exercise 7

The relation R on {1,2, 3, 4} defined by (x, y) ϵ R if x2 > y

Exercise 8

The relation R from the set X of planets to the set Y of integers defined by (x, y) ϵ R if x is in position y from the sun (nearest the sun being in position 1, second nearest the sun being in position 2, and so on)

Exercise 9

The relation of Exercise 4 on {a, b. c}

Exercise 10

The relation R = {(1, 2), (2, 1), (3, 3), (1, 1), (2, 2) on X = {1, 2, 3}

Exercise 11

The relation R = {(1, 2), (2, 3), (3, 4). (4, 1)} on {1, 2, 3, 4}

Exercise 12

The relation of Exercise 7

Exercise 13

Exercise 14

Exercise 15

Exercise 16