Let A = {1, 2, 3, 4} and B = {a, b, c}. State, which of the given are relations from A to B.
{ (a, 1), (b, 2), (c, 3), (b, 3), (b, 4) }
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Solution
For a set of ordered pairs to be a relation from A to B, then the
x-coordinates of the ordered pairs should be from A and the y-coordinates
should be from B. Now, in the given set of ordered pairs, the
x-coordinates of the ordered pairs are not from set A and the y-coordinates are not from the set B. Hence, the given set of ordered
pairs is not a relation from A to B.