Answer
a. {0, 2}, {1}, {3, 4}
R = {(0,0),(0,2),(2,0),(2,2),(1,1),(3,4),(4,3),(3,3),(4,4)}
b. {0}, {1, 3, 4}, {2}
R = {(0,0),(2,2),(1,3),(1,4),(4,1),(3,1),(3,4),(4,3),(3,3),(4,4)}
c. {0}, {1, 2, 3, 4}
R = {(0,0),(1,1),(2,2),(3,3),(4,4),(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2),(3,4),(4,1),(4,2),(4,3)}
Work Step by Step
a. {0, 2}, {1}, {3, 4}
R = {(0,0),(0,2),(2,0),(2,2),(1,1),(3,4),(4,3),(3,3),(4,4)}
b. {0}, {1, 3, 4}, {2}
R = {(0,0),(2,2),(1,3),(1,4),(4,1),(3,1),(3,4),(4,3),(3,3),(4,4)}
c. {0}, {1, 2, 3, 4}
R = {(0,0),(1,1),(2,2),(3,3),(4,4),(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2),(3,4),(4,1),(4,2),(4,3)}