106. List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}
where (a, b) R if and only if a + b = 3.
o {(0, 3), (1, 2), (2, 1), (3, 0), (4, –1)}
o {(0, 0), (0, 1), (0, 2), (0, 3), (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}
{(0, 3), (1, 2), (2, 1), (3, 0)}
o {(0, 0), (1, 1), (2, 2), (3, 3)}
o {(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3), (3, 4)}
107. Let R1 = {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (3, 4)} and R2 = {(1, 2), (2, 1), (2, 4), (3, 1), (3,
2), (3, 4)} be relations from {1, 2, 3} to {1, 2, 3, 4}. Find
o {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}
{(1, 2), (3, 4)}
o {(1, 1), (2, 2), (2, 3), (3, 3)}
o {(1, 1), (2, 1), (2, 4), (3, 1), (3, 2)}
o {(1, 1), (1, 2), (2, 2), (3, 3), (3, 4)}
108. Let R = {(a, b), (b, c), (c, a), (d, b)} and S = {(a, a), (b, b), (c, c), (d, a)} be relations on
A = {a, b, c, d}. Find S R .
o {(a, a), (b, b), (c, c), (d, a)}
o {(a, a), (b, a), (c, a), (c, b), (d, b), (d, c)}
o {(a, a), (a, b), (b, b), (b, c), (c, a), (c, c), (d, a), (d, b)}
{(a, b), (b, c), (c, a), (d, b)}