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Domain of a Relation
publish date: 2026/05/23 22:20:49.916315 UTC
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In a relation defined as a set of ordered pairs, what constitutes the domain of the relation?
Correct Answer
The set of all first elements from each pair
Explanation
For a relation \(R\) consisting of ordered pairs, the domain is the set of all first components: \(\text{dom}(R) = \{a \mid \exists b \text{ such that } (a, b) \in R\}\). The range is the set of all second components: \(\text{ran}(R) = \{b \mid \exists a \text{ such that } (a, b) \in R\}\).
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012