x
y
: r = { (1, 0), (2, 0), (2, 2), (3,
0), (3, 2), (4, 0), (4, 2), (4, 4), (5, 0), (5, 2), (5, 4) }. 2. For the ordered pairs in each one of these relations, the first element of each ordered pair will come from the set A = {1, 2, 3, 4, 5} and the second element of each ordered pair will come from the set B = {0, 2, 4, 6, 8}.
( i ) x r y xy
: r = { (1, 0), (2, 0), (2, 2), (3,
0), (3, 2), (4, 0), (4, 2), (4, 4), (5, 0), (5, 2), (5, 4) }.
( ii ) x r y x = y : r = {
(2, 2), (4, 4) }.
( iii ) x r y x - y is even : r = { (2, 0), (2, 2), (2, 4), (2, 6), (2, 8), (4, 0), (4, 2), (4, 4),
(4, 6), (4, 8) }.
( iv ) x r y x + y = 7 : r
= { (1, 6), (3, 4), (5, 2) }.