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Definition of a Relation

publish date: 2026/05/23 22:20:48.439002 UTC

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What is a relation from set \(A\) to set \(B\)?

Any subset of the Cartesian product \(A \times B\)

The entire set \(A \times B\)

Any subset of \(A \cup B\)

Any mapping from \(A\) onto \(B\)

Correct Answer

Any subset of the Cartesian product \(A \times B\)

Explanation

A relation from \(A\) to \(B\) is defined as any subset of the Cartesian product \(A \times B\). Each element of the subset is an ordered pair \((a, b)\). The subset can be empty, can contain some of the possible pairs, or can be the entire product \(A \times B\) itself.

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

Quizzes you can take where this question appears

Relations and Functions