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What is a set of ordered pairs is called?
A set of ordered pairs is a relation. Or Just simply "Coordinates"
The set of the first numbers of the ordered pairs in a relation?
Usually the set of x values.
Why are tuples in a relation not ordered?
A relation is defined as a set of tuples. Mathematically, elements of a set have no order among them; hence, tuples in a relation do not have any particular order. In other words, a relation is not sensitive to the ordering of tuples. Tuple ordering is not part of a relation definition because a relation attempts to represent facts at a logical or abstract level. Many logical orders can be specified on a relation but there is no preference for one logical ordering over another.
What is the domain of a relation?
It is the set on which the relation is defined to the set which is known as the range.
What is The relation is the set of output values for the relation?
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
